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Finding the Fourth Proportional to 56,417.36, 77,856.02 and 31,266.88

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Solution

The fourth proportional to 56,417.36, 77,856.02 and 31,266.88 is: 43,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,417.36 : 77,856.02 = 31,266.88 : x
  2. Step 2: Convert to fraction form
    56,417.36/77,856.02 = 31,266.88/x
  3. Step 3: Cross multiply
    56,417.36x = 77,856.02 × 31,266.88
  4. Step 4: Simplify right side
    56,417.36x = 2,434,314,834.62
  5. Step 5: Solve for x
    x = 2,434,314,834.62/56,417.36
  6. Step 6: Final answer
    x = 43,148.33

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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.