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Finding the Fourth Proportional to 97,762.40, 146,614.80 and 38,578.40

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Solution

The fourth proportional to 97,762.40, 146,614.80 and 38,578.40 is: 57,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.40 : 146,614.80 = 38,578.40 : x
  2. Step 2: Convert to fraction form
    97,762.40/146,614.80 = 38,578.40/x
  3. Step 3: Cross multiply
    97,762.40x = 146,614.80 × 38,578.40
  4. Step 4: Simplify right side
    97,762.40x = 5,656,164,400.32
  5. Step 5: Solve for x
    x = 5,656,164,400.32/97,762.40
  6. Step 6: Final answer
    x = 57,856.24

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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.