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Finding the Fourth Proportional to 105,070.97, 157,605.83 and 48,880.11

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Solution

The fourth proportional to 105,070.97, 157,605.83 and 48,880.11 is: 73,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,070.97 : 157,605.83 = 48,880.11 : x
  2. Step 2: Convert to fraction form
    105,070.97/157,605.83 = 48,880.11/x
  3. Step 3: Cross multiply
    105,070.97x = 157,605.83 × 48,880.11
  4. Step 4: Simplify right side
    105,070.97x = 7,703,789,812.95
  5. Step 5: Solve for x
    x = 7,703,789,812.95/105,070.97
  6. Step 6: Final answer
    x = 73,319.87

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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.