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Finding the Fourth Proportional to 57,007.50, 78,670.35 and 31,857

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Solution

The fourth proportional to 57,007.50, 78,670.35 and 31,857 is: 43,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007.50 : 78,670.35 = 31,857 : x
  2. Step 2: Convert to fraction form
    57,007.50/78,670.35 = 31,857/x
  3. Step 3: Cross multiply
    57,007.50x = 78,670.35 × 31,857
  4. Step 4: Simplify right side
    57,007.50x = 2,506,201,339.95
  5. Step 5: Solve for x
    x = 2,506,201,339.95/57,007.50
  6. Step 6: Final answer
    x = 43,962.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.