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Finding the Fourth Proportional to 102,575.80, 153,848.31 and 32,446

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Solution

The fourth proportional to 102,575.80, 153,848.31 and 32,446 is: 48,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.80 : 153,848.31 = 32,446 : x
  2. Step 2: Convert to fraction form
    102,575.80/153,848.31 = 32,446/x
  3. Step 3: Cross multiply
    102,575.80x = 153,848.31 × 32,446
  4. Step 4: Simplify right side
    102,575.80x = 4,991,762,266.26
  5. Step 5: Solve for x
    x = 4,991,762,266.26/102,575.80
  6. Step 6: Final answer
    x = 48,664.13

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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.