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Finding the Fourth Proportional to 102,127.65, 153,191.39 and 31,050.87

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Solution

The fourth proportional to 102,127.65, 153,191.39 and 31,050.87 is: 46,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127.65 : 153,191.39 = 31,050.87 : x
  2. Step 2: Convert to fraction form
    102,127.65/153,191.39 = 31,050.87/x
  3. Step 3: Cross multiply
    102,127.65x = 153,191.39 × 31,050.87
  4. Step 4: Simplify right side
    102,127.65x = 4,756,725,780.75
  5. Step 5: Solve for x
    x = 4,756,725,780.75/102,127.65
  6. Step 6: Final answer
    x = 46,576.28

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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.