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Finding the Fourth Proportional to 73,728.10, 110,580 and 31,614.99

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Solution

The fourth proportional to 73,728.10, 110,580 and 31,614.99 is: 47,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728.10 : 110,580 = 31,614.99 : x
  2. Step 2: Convert to fraction form
    73,728.10/110,580 = 31,614.99/x
  3. Step 3: Cross multiply
    73,728.10x = 110,580 × 31,614.99
  4. Step 4: Simplify right side
    73,728.10x = 3,495,985,594.20
  5. Step 5: Solve for x
    x = 3,495,985,594.20/73,728.10
  6. Step 6: Final answer
    x = 47,417.28

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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.