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Finding the Fourth Proportional to 47,341.61, 65,355.10 and 29,442.39

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Solution

The fourth proportional to 47,341.61, 65,355.10 and 29,442.39 is: 40,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,341.61 : 65,355.10 = 29,442.39 : x
  2. Step 2: Convert to fraction form
    47,341.61/65,355.10 = 29,442.39/x
  3. Step 3: Cross multiply
    47,341.61x = 65,355.10 × 29,442.39
  4. Step 4: Simplify right side
    47,341.61x = 1,924,209,942.31
  5. Step 5: Solve for x
    x = 1,924,209,942.31/47,341.61
  6. Step 6: Final answer
    x = 40,645.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.