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Finding the Fourth Proportional to 102,525.30, 153,809.55 and 32,411.70

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Solution

The fourth proportional to 102,525.30, 153,809.55 and 32,411.70 is: 48,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525.30 : 153,809.55 = 32,411.70 : x
  2. Step 2: Convert to fraction form
    102,525.30/153,809.55 = 32,411.70/x
  3. Step 3: Cross multiply
    102,525.30x = 153,809.55 × 32,411.70
  4. Step 4: Simplify right side
    102,525.30x = 4,985,228,991.74
  5. Step 5: Solve for x
    x = 4,985,228,991.74/102,525.30
  6. Step 6: Final answer
    x = 48,624.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.