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Finding the Fourth Proportional to 102,314.40, 153,495.69 and 32,193.69

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Solution

The fourth proportional to 102,314.40, 153,495.69 and 32,193.69 is: 48,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314.40 : 153,495.69 = 32,193.69 : x
  2. Step 2: Convert to fraction form
    102,314.40/153,495.69 = 32,193.69/x
  3. Step 3: Cross multiply
    102,314.40x = 153,495.69 × 32,193.69
  4. Step 4: Simplify right side
    102,314.40x = 4,941,592,660.20
  5. Step 5: Solve for x
    x = 4,941,592,660.20/102,314.40
  6. Step 6: Final answer
    x = 48,298.12

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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.