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Finding the Fourth Proportional to 99,397.46, 148,982.21 and 49,365.74

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Solution

The fourth proportional to 99,397.46, 148,982.21 and 49,365.74 is: 73,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,397.46 : 148,982.21 = 49,365.74 : x
  2. Step 2: Convert to fraction form
    99,397.46/148,982.21 = 49,365.74/x
  3. Step 3: Cross multiply
    99,397.46x = 148,982.21 × 49,365.74
  4. Step 4: Simplify right side
    99,397.46x = 7,354,616,051.75
  5. Step 5: Solve for x
    x = 7,354,616,051.75/99,397.46
  6. Step 6: Final answer
    x = 73,992.00

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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.