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Finding the Fourth Proportional to 67,873.36, 101,715.12 and 57,825.76

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Solution

The fourth proportional to 67,873.36, 101,715.12 and 57,825.76 is: 86,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,873.36 : 101,715.12 = 57,825.76 : x
  2. Step 2: Convert to fraction form
    67,873.36/101,715.12 = 57,825.76/x
  3. Step 3: Cross multiply
    67,873.36x = 101,715.12 × 57,825.76
  4. Step 4: Simplify right side
    67,873.36x = 5,881,754,117.49
  5. Step 5: Solve for x
    x = 5,881,754,117.49/67,873.36
  6. Step 6: Final answer
    x = 86,657.77

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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.