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Finding the Fourth Proportional to 37,650, 56,500.92 and 13,026

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Solution

The fourth proportional to 37,650, 56,500.92 and 13,026 is: 19,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,650 : 56,500.92 = 13,026 : x
  2. Step 2: Convert to fraction form
    37,650/56,500.92 = 13,026/x
  3. Step 3: Cross multiply
    37,650x = 56,500.92 × 13,026
  4. Step 4: Simplify right side
    37,650x = 735,980,983.92
  5. Step 5: Solve for x
    x = 735,980,983.92/37,650
  6. Step 6: Final answer
    x = 19,547.97

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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.