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Finding the Fourth Proportional to 102,235.70, 153,358.35 and 32,117.30

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Solution

The fourth proportional to 102,235.70, 153,358.35 and 32,117.30 is: 48,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.70 : 153,358.35 = 32,117.30 : x
  2. Step 2: Convert to fraction form
    102,235.70/153,358.35 = 32,117.30/x
  3. Step 3: Cross multiply
    102,235.70x = 153,358.35 × 32,117.30
  4. Step 4: Simplify right side
    102,235.70x = 4,925,456,134.46
  5. Step 5: Solve for x
    x = 4,925,456,134.46/102,235.70
  6. Step 6: Final answer
    x = 48,177.46

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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.