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Finding the Fourth Proportional to 75,522, 113,275.74 and 22,931.96

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Solution

The fourth proportional to 75,522, 113,275.74 and 22,931.96 is: 34,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522 : 113,275.74 = 22,931.96 : x
  2. Step 2: Convert to fraction form
    75,522/113,275.74 = 22,931.96/x
  3. Step 3: Cross multiply
    75,522x = 113,275.74 × 22,931.96
  4. Step 4: Simplify right side
    75,522x = 2,597,634,738.65
  5. Step 5: Solve for x
    x = 2,597,634,738.65/75,522
  6. Step 6: Final answer
    x = 34,395.74

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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.