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Finding the Fourth Proportional to 53,216.80, 73,442.32 and 29,348.80

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Solution

The fourth proportional to 53,216.80, 73,442.32 and 29,348.80 is: 40,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,216.80 : 73,442.32 = 29,348.80 : x
  2. Step 2: Convert to fraction form
    53,216.80/73,442.32 = 29,348.80/x
  3. Step 3: Cross multiply
    53,216.80x = 73,442.32 × 29,348.80
  4. Step 4: Simplify right side
    53,216.80x = 2,155,443,961.22
  5. Step 5: Solve for x
    x = 2,155,443,961.22/53,216.80
  6. Step 6: Final answer
    x = 40,503.07

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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.