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Finding the Fourth Proportional to 97,805.76, 146,574.24 and 53,315.52

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Solution

The fourth proportional to 97,805.76, 146,574.24 and 53,315.52 is: 79,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,805.76 : 146,574.24 = 53,315.52 : x
  2. Step 2: Convert to fraction form
    97,805.76/146,574.24 = 53,315.52/x
  3. Step 3: Cross multiply
    97,805.76x = 146,574.24 × 53,315.52
  4. Step 4: Simplify right side
    97,805.76x = 7,814,681,824.20
  5. Step 5: Solve for x
    x = 7,814,681,824.20/97,805.76
  6. Step 6: Final answer
    x = 79,900.02

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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.