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Finding the Fourth Proportional to 69,071.81, 103,214.51 and 51,862.50

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Solution

The fourth proportional to 69,071.81, 103,214.51 and 51,862.50 is: 77,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,071.81 : 103,214.51 = 51,862.50 : x
  2. Step 2: Convert to fraction form
    69,071.81/103,214.51 = 51,862.50/x
  3. Step 3: Cross multiply
    69,071.81x = 103,214.51 × 51,862.50
  4. Step 4: Simplify right side
    69,071.81x = 5,352,962,265.56
  5. Step 5: Solve for x
    x = 5,352,962,265.56/69,071.81
  6. Step 6: Final answer
    x = 77,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.