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Finding the Fourth Proportional to 84,593.47, 116,731.22 and 48,776.56

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Solution

The fourth proportional to 84,593.47, 116,731.22 and 48,776.56 is: 67,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593.47 : 116,731.22 = 48,776.56 : x
  2. Step 2: Convert to fraction form
    84,593.47/116,731.22 = 48,776.56/x
  3. Step 3: Cross multiply
    84,593.47x = 116,731.22 × 48,776.56
  4. Step 4: Simplify right side
    84,593.47x = 5,693,746,820.49
  5. Step 5: Solve for x
    x = 5,693,746,820.49/84,593.47
  6. Step 6: Final answer
    x = 67,307.17

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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.