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Finding the Fourth Proportional to 102,509.65, 153,787.01 and 31,442.07

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Solution

The fourth proportional to 102,509.65, 153,787.01 and 31,442.07 is: 47,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.65 : 153,787.01 = 31,442.07 : x
  2. Step 2: Convert to fraction form
    102,509.65/153,787.01 = 31,442.07/x
  3. Step 3: Cross multiply
    102,509.65x = 153,787.01 × 31,442.07
  4. Step 4: Simplify right side
    102,509.65x = 4,835,382,353.00
  5. Step 5: Solve for x
    x = 4,835,382,353.00/102,509.65
  6. Step 6: Final answer
    x = 47,170.02

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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.