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Finding the Fourth Proportional to 73,856.48, 101,918.40 and 42,022.40

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Solution

The fourth proportional to 73,856.48, 101,918.40 and 42,022.40 is: 57,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856.48 : 101,918.40 = 42,022.40 : x
  2. Step 2: Convert to fraction form
    73,856.48/101,918.40 = 42,022.40/x
  3. Step 3: Cross multiply
    73,856.48x = 101,918.40 × 42,022.40
  4. Step 4: Simplify right side
    73,856.48x = 4,282,855,772.16
  5. Step 5: Solve for x
    x = 4,282,855,772.16/73,856.48
  6. Step 6: Final answer
    x = 57,988.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.