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Finding the Fourth Proportional to 37,875, 56,838.42 and 13,251

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Solution

The fourth proportional to 37,875, 56,838.42 and 13,251 is: 19,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875 : 56,838.42 = 13,251 : x
  2. Step 2: Convert to fraction form
    37,875/56,838.42 = 13,251/x
  3. Step 3: Cross multiply
    37,875x = 56,838.42 × 13,251
  4. Step 4: Simplify right side
    37,875x = 753,165,903.42
  5. Step 5: Solve for x
    x = 753,165,903.42/37,875
  6. Step 6: Final answer
    x = 19,885.57

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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.