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Finding the Fourth Proportional to 118,502.48, 177,762.90 and 39,617

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Solution

The fourth proportional to 118,502.48, 177,762.90 and 39,617 is: 59,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,502.48 : 177,762.90 = 39,617 : x
  2. Step 2: Convert to fraction form
    118,502.48/177,762.90 = 39,617/x
  3. Step 3: Cross multiply
    118,502.48x = 177,762.90 × 39,617
  4. Step 4: Simplify right side
    118,502.48x = 7,042,432,809.30
  5. Step 5: Solve for x
    x = 7,042,432,809.30/118,502.48
  6. Step 6: Final answer
    x = 59,428.57

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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.