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Finding the Fourth Proportional to 101,585.97, 152,384.42 and 42,362.01

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Solution

The fourth proportional to 101,585.97, 152,384.42 and 42,362.01 is: 63,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.97 : 152,384.42 = 42,362.01 : x
  2. Step 2: Convert to fraction form
    101,585.97/152,384.42 = 42,362.01/x
  3. Step 3: Cross multiply
    101,585.97x = 152,384.42 × 42,362.01
  4. Step 4: Simplify right side
    101,585.97x = 6,455,310,429.79
  5. Step 5: Solve for x
    x = 6,455,310,429.79/101,585.97
  6. Step 6: Final answer
    x = 63,545.29

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Why These Related Problems?

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