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Finding the Fourth Proportional to 83,104.55, 114,694.13 and 46,807.19

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Solution

The fourth proportional to 83,104.55, 114,694.13 and 46,807.19 is: 64,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.55 : 114,694.13 = 46,807.19 : x
  2. Step 2: Convert to fraction form
    83,104.55/114,694.13 = 46,807.19/x
  3. Step 3: Cross multiply
    83,104.55x = 114,694.13 × 46,807.19
  4. Step 4: Simplify right side
    83,104.55x = 5,368,509,700.76
  5. Step 5: Solve for x
    x = 5,368,509,700.76/83,104.55
  6. Step 6: Final answer
    x = 64,599.47

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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.