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Finding the Fourth Proportional to 97,713.60, 146,551.20 and 32,049.60

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Solution

The fourth proportional to 97,713.60, 146,551.20 and 32,049.60 is: 48,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713.60 : 146,551.20 = 32,049.60 : x
  2. Step 2: Convert to fraction form
    97,713.60/146,551.20 = 32,049.60/x
  3. Step 3: Cross multiply
    97,713.60x = 146,551.20 × 32,049.60
  4. Step 4: Simplify right side
    97,713.60x = 4,696,907,339.52
  5. Step 5: Solve for x
    x = 4,696,907,339.52/97,713.60
  6. Step 6: Final answer
    x = 48,068.10

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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.