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Finding the Fourth Proportional to 57,143.48, 78,854.05 and 31,648.01

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Solution

The fourth proportional to 57,143.48, 78,854.05 and 31,648.01 is: 43,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.48 : 78,854.05 = 31,648.01 : x
  2. Step 2: Convert to fraction form
    57,143.48/78,854.05 = 31,648.01/x
  3. Step 3: Cross multiply
    57,143.48x = 78,854.05 × 31,648.01
  4. Step 4: Simplify right side
    57,143.48x = 2,495,573,762.94
  5. Step 5: Solve for x
    x = 2,495,573,762.94/57,143.48
  6. Step 6: Final answer
    x = 43,672.06

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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.