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Finding the Fourth Proportional to 56,538.40, 78,023.36 and 31,047.20

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Solution

The fourth proportional to 56,538.40, 78,023.36 and 31,047.20 is: 42,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538.40 : 78,023.36 = 31,047.20 : x
  2. Step 2: Convert to fraction form
    56,538.40/78,023.36 = 31,047.20/x
  3. Step 3: Cross multiply
    56,538.40x = 78,023.36 × 31,047.20
  4. Step 4: Simplify right side
    56,538.40x = 2,422,406,862.59
  5. Step 5: Solve for x
    x = 2,422,406,862.59/56,538.40
  6. Step 6: Final answer
    x = 42,845.34

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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.