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Finding the Fourth Proportional to 83,503.79, 115,182.93 and 54,824.93

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Solution

The fourth proportional to 83,503.79, 115,182.93 and 54,824.93 is: 75,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.79 : 115,182.93 = 54,824.93 : x
  2. Step 2: Convert to fraction form
    83,503.79/115,182.93 = 54,824.93/x
  3. Step 3: Cross multiply
    83,503.79x = 115,182.93 × 54,824.93
  4. Step 4: Simplify right side
    83,503.79x = 6,314,896,074.44
  5. Step 5: Solve for x
    x = 6,314,896,074.44/83,503.79
  6. Step 6: Final answer
    x = 75,624.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.