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Finding the Fourth Proportional to 38,056.52, 57,088.15 and 9,976.50

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Solution

The fourth proportional to 38,056.52, 57,088.15 and 9,976.50 is: 14,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.52 : 57,088.15 = 9,976.50 : x
  2. Step 2: Convert to fraction form
    38,056.52/57,088.15 = 9,976.50/x
  3. Step 3: Cross multiply
    38,056.52x = 57,088.15 × 9,976.50
  4. Step 4: Simplify right side
    38,056.52x = 569,539,903.53
  5. Step 5: Solve for x
    x = 569,539,903.53/38,056.52
  6. Step 6: Final answer
    x = 14,965.63

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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.