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Finding the Fourth Proportional to 67,316, 101,002.64 and 27,901.76

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Solution

The fourth proportional to 67,316, 101,002.64 and 27,901.76 is: 41,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,316 : 101,002.64 = 27,901.76 : x
  2. Step 2: Convert to fraction form
    67,316/101,002.64 = 27,901.76/x
  3. Step 3: Cross multiply
    67,316x = 101,002.64 × 27,901.76
  4. Step 4: Simplify right side
    67,316x = 2,818,151,420.65
  5. Step 5: Solve for x
    x = 2,818,151,420.65/67,316
  6. Step 6: Final answer
    x = 41,864.51

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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.