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Finding the Fourth Proportional to 98,761.92, 148,068.64 and 32,162.40

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Solution

The fourth proportional to 98,761.92, 148,068.64 and 32,162.40 is: 48,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,761.92 : 148,068.64 = 32,162.40 : x
  2. Step 2: Convert to fraction form
    98,761.92/148,068.64 = 32,162.40/x
  3. Step 3: Cross multiply
    98,761.92x = 148,068.64 × 32,162.40
  4. Step 4: Simplify right side
    98,761.92x = 4,762,242,827.14
  5. Step 5: Solve for x
    x = 4,762,242,827.14/98,761.92
  6. Step 6: Final answer
    x = 48,219.42

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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.