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Finding the Fourth Proportional to 48,652.60, 72,978.90 and 32,031.40

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Solution

The fourth proportional to 48,652.60, 72,978.90 and 32,031.40 is: 48,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.60 : 72,978.90 = 32,031.40 : x
  2. Step 2: Convert to fraction form
    48,652.60/72,978.90 = 32,031.40/x
  3. Step 3: Cross multiply
    48,652.60x = 72,978.90 × 32,031.40
  4. Step 4: Simplify right side
    48,652.60x = 2,337,616,337.46
  5. Step 5: Solve for x
    x = 2,337,616,337.46/48,652.60
  6. Step 6: Final answer
    x = 48,047.10

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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.