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Finding the Fourth Proportional to 83,646.77, 115,428.59 and 45,405.45

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Solution

The fourth proportional to 83,646.77, 115,428.59 and 45,405.45 is: 62,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.77 : 115,428.59 = 45,405.45 : x
  2. Step 2: Convert to fraction form
    83,646.77/115,428.59 = 45,405.45/x
  3. Step 3: Cross multiply
    83,646.77x = 115,428.59 × 45,405.45
  4. Step 4: Simplify right side
    83,646.77x = 5,241,086,844.79
  5. Step 5: Solve for x
    x = 5,241,086,844.79/83,646.77
  6. Step 6: Final answer
    x = 62,657.38

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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.