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Finding the Fourth Proportional to 48,117.60, 72,167.90 and 13,060

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Solution

The fourth proportional to 48,117.60, 72,167.90 and 13,060 is: 19,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117.60 : 72,167.90 = 13,060 : x
  2. Step 2: Convert to fraction form
    48,117.60/72,167.90 = 13,060/x
  3. Step 3: Cross multiply
    48,117.60x = 72,167.90 × 13,060
  4. Step 4: Simplify right side
    48,117.60x = 942,512,774.00
  5. Step 5: Solve for x
    x = 942,512,774.00/48,117.60
  6. Step 6: Final answer
    x = 19,587.69

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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.