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Finding the Fourth Proportional to 29,587, 40,830.38 and 16,158.64

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Solution

The fourth proportional to 29,587, 40,830.38 and 16,158.64 is: 22,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587 : 40,830.38 = 16,158.64 : x
  2. Step 2: Convert to fraction form
    29,587/40,830.38 = 16,158.64/x
  3. Step 3: Cross multiply
    29,587x = 40,830.38 × 16,158.64
  4. Step 4: Simplify right side
    29,587x = 659,763,411.48
  5. Step 5: Solve for x
    x = 659,763,411.48/29,587
  6. Step 6: Final answer
    x = 22,299.10

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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.