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Finding the Fourth Proportional to 102,562.34, 153,849.11 and 32,436.42

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Solution

The fourth proportional to 102,562.34, 153,849.11 and 32,436.42 is: 48,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.34 : 153,849.11 = 32,436.42 : x
  2. Step 2: Convert to fraction form
    102,562.34/153,849.11 = 32,436.42/x
  3. Step 3: Cross multiply
    102,562.34x = 153,849.11 × 32,436.42
  4. Step 4: Simplify right side
    102,562.34x = 4,990,314,348.59
  5. Step 5: Solve for x
    x = 4,990,314,348.59/102,562.34
  6. Step 6: Final answer
    x = 48,656.40

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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.