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Finding the Fourth Proportional to 97,614.86, 146,458.74 and 38,491.76

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Solution

The fourth proportional to 97,614.86, 146,458.74 and 38,491.76 is: 57,752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.86 : 146,458.74 = 38,491.76 : x
  2. Step 2: Convert to fraction form
    97,614.86/146,458.74 = 38,491.76/x
  3. Step 3: Cross multiply
    97,614.86x = 146,458.74 × 38,491.76
  4. Step 4: Simplify right side
    97,614.86x = 5,637,454,669.98
  5. Step 5: Solve for x
    x = 5,637,454,669.98/97,614.86
  6. Step 6: Final answer
    x = 57,752.01

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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.