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Finding the Fourth Proportional to 91,684.48, 137,528.64 and 29,354.80

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Solution

The fourth proportional to 91,684.48, 137,528.64 and 29,354.80 is: 44,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,684.48 : 137,528.64 = 29,354.80 : x
  2. Step 2: Convert to fraction form
    91,684.48/137,528.64 = 29,354.80/x
  3. Step 3: Cross multiply
    91,684.48x = 137,528.64 × 29,354.80
  4. Step 4: Simplify right side
    91,684.48x = 4,037,125,721.47
  5. Step 5: Solve for x
    x = 4,037,125,721.47/91,684.48
  6. Step 6: Final answer
    x = 44,032.81

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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.