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Finding the Fourth Proportional to 29,098, 40,153.35 and 17,158.60

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Solution

The fourth proportional to 29,098, 40,153.35 and 17,158.60 is: 23,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 40,153.35 = 17,158.60 : x
  2. Step 2: Convert to fraction form
    29,098/40,153.35 = 17,158.60/x
  3. Step 3: Cross multiply
    29,098x = 40,153.35 × 17,158.60
  4. Step 4: Simplify right side
    29,098x = 688,975,271.31
  5. Step 5: Solve for x
    x = 688,975,271.31/29,098
  6. Step 6: Final answer
    x = 23,677.75

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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.