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Finding the Fourth Proportional to 32,001, 48,018.78 and 15,585

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Solution

The fourth proportional to 32,001, 48,018.78 and 15,585 is: 23,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001 : 48,018.78 = 15,585 : x
  2. Step 2: Convert to fraction form
    32,001/48,018.78 = 15,585/x
  3. Step 3: Cross multiply
    32,001x = 48,018.78 × 15,585
  4. Step 4: Simplify right side
    32,001x = 748,372,686.30
  5. Step 5: Solve for x
    x = 748,372,686.30/32,001
  6. Step 6: Final answer
    x = 23,385.92

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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.