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Finding the Fourth Proportional to 83,312.66, 114,851.86 and 59,397.82

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Solution

The fourth proportional to 83,312.66, 114,851.86 and 59,397.82 is: 81,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.66 : 114,851.86 = 59,397.82 : x
  2. Step 2: Convert to fraction form
    83,312.66/114,851.86 = 59,397.82/x
  3. Step 3: Cross multiply
    83,312.66x = 114,851.86 × 59,397.82
  4. Step 4: Simplify right side
    83,312.66x = 6,821,950,106.95
  5. Step 5: Solve for x
    x = 6,821,950,106.95/83,312.66
  6. Step 6: Final answer
    x = 81,883.71

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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.