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Finding the Fourth Proportional to 32,038.47, 44,209.98 and 21,975.53

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Solution

The fourth proportional to 32,038.47, 44,209.98 and 21,975.53 is: 30,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.47 : 44,209.98 = 21,975.53 : x
  2. Step 2: Convert to fraction form
    32,038.47/44,209.98 = 21,975.53/x
  3. Step 3: Cross multiply
    32,038.47x = 44,209.98 × 21,975.53
  4. Step 4: Simplify right side
    32,038.47x = 971,537,520.74
  5. Step 5: Solve for x
    x = 971,537,520.74/32,038.47
  6. Step 6: Final answer
    x = 30,324.09

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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.