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Finding the Fourth Proportional to 69,870.50, 96,423.01 and 38,041.14

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Solution

The fourth proportional to 69,870.50, 96,423.01 and 38,041.14 is: 52,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,870.50 : 96,423.01 = 38,041.14 : x
  2. Step 2: Convert to fraction form
    69,870.50/96,423.01 = 38,041.14/x
  3. Step 3: Cross multiply
    69,870.50x = 96,423.01 × 38,041.14
  4. Step 4: Simplify right side
    69,870.50x = 3,668,041,222.63
  5. Step 5: Solve for x
    x = 3,668,041,222.63/69,870.50
  6. Step 6: Final answer
    x = 52,497.71

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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.