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Finding the Fourth Proportional to 39,746.60, 59,627.90 and 11,666.60

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Solution

The fourth proportional to 39,746.60, 59,627.90 and 11,666.60 is: 17,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746.60 : 59,627.90 = 11,666.60 : x
  2. Step 2: Convert to fraction form
    39,746.60/59,627.90 = 11,666.60/x
  3. Step 3: Cross multiply
    39,746.60x = 59,627.90 × 11,666.60
  4. Step 4: Simplify right side
    39,746.60x = 695,654,858.14
  5. Step 5: Solve for x
    x = 695,654,858.14/39,746.60
  6. Step 6: Final answer
    x = 17,502.25

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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.