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Finding the Fourth Proportional to 32,068.75, 47,868.28 and 28,281.22

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Solution

The fourth proportional to 32,068.75, 47,868.28 and 28,281.22 is: 42,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068.75 : 47,868.28 = 28,281.22 : x
  2. Step 2: Convert to fraction form
    32,068.75/47,868.28 = 28,281.22/x
  3. Step 3: Cross multiply
    32,068.75x = 47,868.28 × 28,281.22
  4. Step 4: Simplify right side
    32,068.75x = 1,353,773,144.22
  5. Step 5: Solve for x
    x = 1,353,773,144.22/32,068.75
  6. Step 6: Final answer
    x = 42,214.71

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