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Finding the Fourth Proportional to 37,772.32, 56,607.42 and 14,386

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Solution

The fourth proportional to 37,772.32, 56,607.42 and 14,386 is: 21,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,772.32 : 56,607.42 = 14,386 : x
  2. Step 2: Convert to fraction form
    37,772.32/56,607.42 = 14,386/x
  3. Step 3: Cross multiply
    37,772.32x = 56,607.42 × 14,386
  4. Step 4: Simplify right side
    37,772.32x = 814,354,344.12
  5. Step 5: Solve for x
    x = 814,354,344.12/37,772.32
  6. Step 6: Final answer
    x = 21,559.55

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