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Finding the Fourth Proportional to 37,816.84, 56,720.96 and 10,117

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Solution

The fourth proportional to 37,816.84, 56,720.96 and 10,117 is: 15,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,816.84 : 56,720.96 = 10,117 : x
  2. Step 2: Convert to fraction form
    37,816.84/56,720.96 = 10,117/x
  3. Step 3: Cross multiply
    37,816.84x = 56,720.96 × 10,117
  4. Step 4: Simplify right side
    37,816.84x = 573,845,952.32
  5. Step 5: Solve for x
    x = 573,845,952.32/37,816.84
  6. Step 6: Final answer
    x = 15,174.35

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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.