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Finding the Fourth Proportional to 57,141.48, 78,851.30 and 31,646.01

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Solution

The fourth proportional to 57,141.48, 78,851.30 and 31,646.01 is: 43,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.48 : 78,851.30 = 31,646.01 : x
  2. Step 2: Convert to fraction form
    57,141.48/78,851.30 = 31,646.01/x
  3. Step 3: Cross multiply
    57,141.48x = 78,851.30 × 31,646.01
  4. Step 4: Simplify right side
    57,141.48x = 2,495,328,870.08
  5. Step 5: Solve for x
    x = 2,495,328,870.08/57,141.48
  6. Step 6: Final answer
    x = 43,669.31

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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.