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Finding the Fourth Proportional to 42,776.76, 64,167.06 and 15,075

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Solution

The fourth proportional to 42,776.76, 64,167.06 and 15,075 is: 22,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.76 : 64,167.06 = 15,075 : x
  2. Step 2: Convert to fraction form
    42,776.76/64,167.06 = 15,075/x
  3. Step 3: Cross multiply
    42,776.76x = 64,167.06 × 15,075
  4. Step 4: Simplify right side
    42,776.76x = 967,318,429.50
  5. Step 5: Solve for x
    x = 967,318,429.50/42,776.76
  6. Step 6: Final answer
    x = 22,613.18

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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.