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Finding the Fourth Proportional to 57,223.76, 78,973.47 and 31,738.14

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Solution

The fourth proportional to 57,223.76, 78,973.47 and 31,738.14 is: 43,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.76 : 78,973.47 = 31,738.14 : x
  2. Step 2: Convert to fraction form
    57,223.76/78,973.47 = 31,738.14/x
  3. Step 3: Cross multiply
    57,223.76x = 78,973.47 × 31,738.14
  4. Step 4: Simplify right side
    57,223.76x = 2,506,471,047.15
  5. Step 5: Solve for x
    x = 2,506,471,047.15/57,223.76
  6. Step 6: Final answer
    x = 43,801.23

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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.