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Finding the Fourth Proportional to 97,672.80, 146,509.20 and 42,376.80

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Solution

The fourth proportional to 97,672.80, 146,509.20 and 42,376.80 is: 63,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.80 : 146,509.20 = 42,376.80 : x
  2. Step 2: Convert to fraction form
    97,672.80/146,509.20 = 42,376.80/x
  3. Step 3: Cross multiply
    97,672.80x = 146,509.20 × 42,376.80
  4. Step 4: Simplify right side
    97,672.80x = 6,208,591,066.56
  5. Step 5: Solve for x
    x = 6,208,591,066.56/97,672.80
  6. Step 6: Final answer
    x = 63,565.20

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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.