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Finding the Fourth Proportional to 37,671.88, 56,507.81 and 9,969.88

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Solution

The fourth proportional to 37,671.88, 56,507.81 and 9,969.88 is: 14,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671.88 : 56,507.81 = 9,969.88 : x
  2. Step 2: Convert to fraction form
    37,671.88/56,507.81 = 9,969.88/x
  3. Step 3: Cross multiply
    37,671.88x = 56,507.81 × 9,969.88
  4. Step 4: Simplify right side
    37,671.88x = 563,376,084.76
  5. Step 5: Solve for x
    x = 563,376,084.76/37,671.88
  6. Step 6: Final answer
    x = 14,954.82

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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.