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Finding the Fourth Proportional to 33,116.40, 49,669.80 and 9,740.40

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Solution

The fourth proportional to 33,116.40, 49,669.80 and 9,740.40 is: 14,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.40 : 49,669.80 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    33,116.40/49,669.80 = 9,740.40/x
  3. Step 3: Cross multiply
    33,116.40x = 49,669.80 × 9,740.40
  4. Step 4: Simplify right side
    33,116.40x = 483,803,719.92
  5. Step 5: Solve for x
    x = 483,803,719.92/33,116.40
  6. Step 6: Final answer
    x = 14,609.19

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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.