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Finding the Fourth Proportional to 55,965.24, 83,947.86 and 14,409

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Solution

The fourth proportional to 55,965.24, 83,947.86 and 14,409 is: 21,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,965.24 : 83,947.86 = 14,409 : x
  2. Step 2: Convert to fraction form
    55,965.24/83,947.86 = 14,409/x
  3. Step 3: Cross multiply
    55,965.24x = 83,947.86 × 14,409
  4. Step 4: Simplify right side
    55,965.24x = 1,209,604,714.74
  5. Step 5: Solve for x
    x = 1,209,604,714.74/55,965.24
  6. Step 6: Final answer
    x = 21,613.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.