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Finding the Fourth Proportional to 78,683.52, 118,025.28 and 29,424

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Solution

The fourth proportional to 78,683.52, 118,025.28 and 29,424 is: 44,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.52 : 118,025.28 = 29,424 : x
  2. Step 2: Convert to fraction form
    78,683.52/118,025.28 = 29,424/x
  3. Step 3: Cross multiply
    78,683.52x = 118,025.28 × 29,424
  4. Step 4: Simplify right side
    78,683.52x = 3,472,775,838.72
  5. Step 5: Solve for x
    x = 3,472,775,838.72/78,683.52
  6. Step 6: Final answer
    x = 44,136.00

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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.