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Finding the Fourth Proportional to 83,447, 115,159.56 and 45,723.68

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Solution

The fourth proportional to 83,447, 115,159.56 and 45,723.68 is: 63,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447 : 115,159.56 = 45,723.68 : x
  2. Step 2: Convert to fraction form
    83,447/115,159.56 = 45,723.68/x
  3. Step 3: Cross multiply
    83,447x = 115,159.56 × 45,723.68
  4. Step 4: Simplify right side
    83,447x = 5,265,518,870.38
  5. Step 5: Solve for x
    x = 5,265,518,870.38/83,447
  6. Step 6: Final answer
    x = 63,100.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.