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Finding the Fourth Proportional to 87,114.86, 130,557.47 and 34,495.64

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Solution

The fourth proportional to 87,114.86, 130,557.47 and 34,495.64 is: 51,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,114.86 : 130,557.47 = 34,495.64 : x
  2. Step 2: Convert to fraction form
    87,114.86/130,557.47 = 34,495.64/x
  3. Step 3: Cross multiply
    87,114.86x = 130,557.47 × 34,495.64
  4. Step 4: Simplify right side
    87,114.86x = 4,503,662,659.17
  5. Step 5: Solve for x
    x = 4,503,662,659.17/87,114.86
  6. Step 6: Final answer
    x = 51,697.99

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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.