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Finding the Fourth Proportional to 59,970, 82,681.68 and 49,175.12

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Solution

The fourth proportional to 59,970, 82,681.68 and 49,175.12 is: 67,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,970 : 82,681.68 = 49,175.12 : x
  2. Step 2: Convert to fraction form
    59,970/82,681.68 = 49,175.12/x
  3. Step 3: Cross multiply
    59,970x = 82,681.68 × 49,175.12
  4. Step 4: Simplify right side
    59,970x = 4,065,881,535.80
  5. Step 5: Solve for x
    x = 4,065,881,535.80/59,970
  6. Step 6: Final answer
    x = 67,798.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.