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Finding the Fourth Proportional to 38,503.68, 53,165.16 and 29,537

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Solution

The fourth proportional to 38,503.68, 53,165.16 and 29,537 is: 40,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.68 : 53,165.16 = 29,537 : x
  2. Step 2: Convert to fraction form
    38,503.68/53,165.16 = 29,537/x
  3. Step 3: Cross multiply
    38,503.68x = 53,165.16 × 29,537
  4. Step 4: Simplify right side
    38,503.68x = 1,570,339,330.92
  5. Step 5: Solve for x
    x = 1,570,339,330.92/38,503.68
  6. Step 6: Final answer
    x = 40,784.14

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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.