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Finding the Fourth Proportional to 32,792, 45,253.12 and 17,888

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Solution

The fourth proportional to 32,792, 45,253.12 and 17,888 is: 24,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792 : 45,253.12 = 17,888 : x
  2. Step 2: Convert to fraction form
    32,792/45,253.12 = 17,888/x
  3. Step 3: Cross multiply
    32,792x = 45,253.12 × 17,888
  4. Step 4: Simplify right side
    32,792x = 809,487,810.56
  5. Step 5: Solve for x
    x = 809,487,810.56/32,792
  6. Step 6: Final answer
    x = 24,685.53

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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.