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Finding the Fourth Proportional to 32,384.60, 44,681.46 and 22,315.76

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Solution

The fourth proportional to 32,384.60, 44,681.46 and 22,315.76 is: 30,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.60 : 44,681.46 = 22,315.76 : x
  2. Step 2: Convert to fraction form
    32,384.60/44,681.46 = 22,315.76/x
  3. Step 3: Cross multiply
    32,384.60x = 44,681.46 × 22,315.76
  4. Step 4: Simplify right side
    32,384.60x = 997,100,737.81
  5. Step 5: Solve for x
    x = 997,100,737.81/32,384.60
  6. Step 6: Final answer
    x = 30,789.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.