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Finding the Fourth Proportional to 56,865.48, 78,391.29 and 39,816

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Solution

The fourth proportional to 56,865.48, 78,391.29 and 39,816 is: 54,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,865.48 : 78,391.29 = 39,816 : x
  2. Step 2: Convert to fraction form
    56,865.48/78,391.29 = 39,816/x
  3. Step 3: Cross multiply
    56,865.48x = 78,391.29 × 39,816
  4. Step 4: Simplify right side
    56,865.48x = 3,121,227,602.64
  5. Step 5: Solve for x
    x = 3,121,227,602.64/56,865.48
  6. Step 6: Final answer
    x = 54,887.91

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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.