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Finding the Fourth Proportional to 102,654.87, 153,985.55 and 32,534.79

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Solution

The fourth proportional to 102,654.87, 153,985.55 and 32,534.79 is: 48,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.87 : 153,985.55 = 32,534.79 : x
  2. Step 2: Convert to fraction form
    102,654.87/153,985.55 = 32,534.79/x
  3. Step 3: Cross multiply
    102,654.87x = 153,985.55 × 32,534.79
  4. Step 4: Simplify right side
    102,654.87x = 5,009,887,532.28
  5. Step 5: Solve for x
    x = 5,009,887,532.28/102,654.87
  6. Step 6: Final answer
    x = 48,803.21

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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.