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Finding the Fourth Proportional to 83,075.50, 124,613.26 and 24,707.50

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Solution

The fourth proportional to 83,075.50, 124,613.26 and 24,707.50 is: 37,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.50 : 124,613.26 = 24,707.50 : x
  2. Step 2: Convert to fraction form
    83,075.50/124,613.26 = 24,707.50/x
  3. Step 3: Cross multiply
    83,075.50x = 124,613.26 × 24,707.50
  4. Step 4: Simplify right side
    83,075.50x = 3,078,882,121.45
  5. Step 5: Solve for x
    x = 3,078,882,121.45/83,075.50
  6. Step 6: Final answer
    x = 37,061.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.