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Finding the Fourth Proportional to 48,641.90, 72,962.87 and 37,564.74

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Solution

The fourth proportional to 48,641.90, 72,962.87 and 37,564.74 is: 56,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,641.90 : 72,962.87 = 37,564.74 : x
  2. Step 2: Convert to fraction form
    48,641.90/72,962.87 = 37,564.74/x
  3. Step 3: Cross multiply
    48,641.90x = 72,962.87 × 37,564.74
  4. Step 4: Simplify right side
    48,641.90x = 2,740,831,053.38
  5. Step 5: Solve for x
    x = 2,740,831,053.38/48,641.90
  6. Step 6: Final answer
    x = 56,347.13

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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.