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Finding the Fourth Proportional to 96,098.40, 144,032.40 and 49,327.20

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Solution

The fourth proportional to 96,098.40, 144,032.40 and 49,327.20 is: 73,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,098.40 : 144,032.40 = 49,327.20 : x
  2. Step 2: Convert to fraction form
    96,098.40/144,032.40 = 49,327.20/x
  3. Step 3: Cross multiply
    96,098.40x = 144,032.40 × 49,327.20
  4. Step 4: Simplify right side
    96,098.40x = 7,104,715,001.28
  5. Step 5: Solve for x
    x = 7,104,715,001.28/96,098.40
  6. Step 6: Final answer
    x = 73,931.67

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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.