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Finding the Fourth Proportional to 96,648.90, 144,971.52 and 39,710.70

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Solution

The fourth proportional to 96,648.90, 144,971.52 and 39,710.70 is: 59,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648.90 : 144,971.52 = 39,710.70 : x
  2. Step 2: Convert to fraction form
    96,648.90/144,971.52 = 39,710.70/x
  3. Step 3: Cross multiply
    96,648.90x = 144,971.52 × 39,710.70
  4. Step 4: Simplify right side
    96,648.90x = 5,756,920,539.26
  5. Step 5: Solve for x
    x = 5,756,920,539.26/96,648.90
  6. Step 6: Final answer
    x = 59,565.30

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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.