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Finding the Fourth Proportional to 97,488.60, 146,232.90 and 35,159.10

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Solution

The fourth proportional to 97,488.60, 146,232.90 and 35,159.10 is: 52,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488.60 : 146,232.90 = 35,159.10 : x
  2. Step 2: Convert to fraction form
    97,488.60/146,232.90 = 35,159.10/x
  3. Step 3: Cross multiply
    97,488.60x = 146,232.90 × 35,159.10
  4. Step 4: Simplify right side
    97,488.60x = 5,141,417,154.39
  5. Step 5: Solve for x
    x = 5,141,417,154.39/97,488.60
  6. Step 6: Final answer
    x = 52,738.65

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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.