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Finding the Fourth Proportional to 35,062.32, 52,602.12 and 16,590

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Solution

The fourth proportional to 35,062.32, 52,602.12 and 16,590 is: 24,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,062.32 : 52,602.12 = 16,590 : x
  2. Step 2: Convert to fraction form
    35,062.32/52,602.12 = 16,590/x
  3. Step 3: Cross multiply
    35,062.32x = 52,602.12 × 16,590
  4. Step 4: Simplify right side
    35,062.32x = 872,669,170.80
  5. Step 5: Solve for x
    x = 872,669,170.80/35,062.32
  6. Step 6: Final answer
    x = 24,889.09

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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.