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Finding the Fourth Proportional to 101,895.71, 152,794.38 and 42,715.49

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Solution

The fourth proportional to 101,895.71, 152,794.38 and 42,715.49 is: 64,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895.71 : 152,794.38 = 42,715.49 : x
  2. Step 2: Convert to fraction form
    101,895.71/152,794.38 = 42,715.49/x
  3. Step 3: Cross multiply
    101,895.71x = 152,794.38 × 42,715.49
  4. Step 4: Simplify right side
    101,895.71x = 6,526,686,810.95
  5. Step 5: Solve for x
    x = 6,526,686,810.95/101,895.71
  6. Step 6: Final answer
    x = 64,052.62

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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.