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Finding the Fourth Proportional to 32,069.76, 47,869.77 and 28,282.22

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Solution

The fourth proportional to 32,069.76, 47,869.77 and 28,282.22 is: 42,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.76 : 47,869.77 = 28,282.22 : x
  2. Step 2: Convert to fraction form
    32,069.76/47,869.77 = 28,282.22/x
  3. Step 3: Cross multiply
    32,069.76x = 47,869.77 × 28,282.22
  4. Step 4: Simplify right side
    32,069.76x = 1,353,863,225.08
  5. Step 5: Solve for x
    x = 1,353,863,225.08/32,069.76
  6. Step 6: Final answer
    x = 42,216.20

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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.