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Finding the Fourth Proportional to 47,657, 71,490.36 and 16,492.16

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Solution

The fourth proportional to 47,657, 71,490.36 and 16,492.16 is: 24,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657 : 71,490.36 = 16,492.16 : x
  2. Step 2: Convert to fraction form
    47,657/71,490.36 = 16,492.16/x
  3. Step 3: Cross multiply
    47,657x = 71,490.36 × 16,492.16
  4. Step 4: Simplify right side
    47,657x = 1,179,030,455.58
  5. Step 5: Solve for x
    x = 1,179,030,455.58/47,657
  6. Step 6: Final answer
    x = 24,739.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.