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Finding the Fourth Proportional to 59,551.71, 82,175.34 and 35,677.77

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Solution

The fourth proportional to 59,551.71, 82,175.34 and 35,677.77 is: 49,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,551.71 : 82,175.34 = 35,677.77 : x
  2. Step 2: Convert to fraction form
    59,551.71/82,175.34 = 35,677.77/x
  3. Step 3: Cross multiply
    59,551.71x = 82,175.34 × 35,677.77
  4. Step 4: Simplify right side
    59,551.71x = 2,931,832,880.19
  5. Step 5: Solve for x
    x = 2,931,832,880.19/59,551.71
  6. Step 6: Final answer
    x = 49,231.72

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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.