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Finding the Fourth Proportional to 56,382, 77,807.16 and 34,026

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Solution

The fourth proportional to 56,382, 77,807.16 and 34,026 is: 46,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382 : 77,807.16 = 34,026 : x
  2. Step 2: Convert to fraction form
    56,382/77,807.16 = 34,026/x
  3. Step 3: Cross multiply
    56,382x = 77,807.16 × 34,026
  4. Step 4: Simplify right side
    56,382x = 2,647,466,426.16
  5. Step 5: Solve for x
    x = 2,647,466,426.16/56,382
  6. Step 6: Final answer
    x = 46,955.88

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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.