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Finding the Fourth Proportional to 32,030.94, 44,202 and 17,689.89

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Solution

The fourth proportional to 32,030.94, 44,202 and 17,689.89 is: 24,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.94 : 44,202 = 17,689.89 : x
  2. Step 2: Convert to fraction form
    32,030.94/44,202 = 17,689.89/x
  3. Step 3: Cross multiply
    32,030.94x = 44,202 × 17,689.89
  4. Step 4: Simplify right side
    32,030.94x = 781,928,517.78
  5. Step 5: Solve for x
    x = 781,928,517.78/32,030.94
  6. Step 6: Final answer
    x = 24,411.66

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Why These Related Problems?

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