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Finding the Fourth Proportional to 58,961, 81,366.18 and 32,465

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Solution

The fourth proportional to 58,961, 81,366.18 and 32,465 is: 44,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,961 : 81,366.18 = 32,465 : x
  2. Step 2: Convert to fraction form
    58,961/81,366.18 = 32,465/x
  3. Step 3: Cross multiply
    58,961x = 81,366.18 × 32,465
  4. Step 4: Simplify right side
    58,961x = 2,641,553,033.70
  5. Step 5: Solve for x
    x = 2,641,553,033.70/58,961
  6. Step 6: Final answer
    x = 44,801.70

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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.