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Finding the Fourth Proportional to 37,646.97, 56,484.30 and 15,454.40

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Solution

The fourth proportional to 37,646.97, 56,484.30 and 15,454.40 is: 23,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.97 : 56,484.30 = 15,454.40 : x
  2. Step 2: Convert to fraction form
    37,646.97/56,484.30 = 15,454.40/x
  3. Step 3: Cross multiply
    37,646.97x = 56,484.30 × 15,454.40
  4. Step 4: Simplify right side
    37,646.97x = 872,930,683.50
  5. Step 5: Solve for x
    x = 872,930,683.50/37,646.97
  6. Step 6: Final answer
    x = 23,187.28

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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.