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Finding the Fourth Proportional to 53,821.80, 74,237.04 and 32,296.86

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Solution

The fourth proportional to 53,821.80, 74,237.04 and 32,296.86 is: 44,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,821.80 : 74,237.04 = 32,296.86 : x
  2. Step 2: Convert to fraction form
    53,821.80/74,237.04 = 32,296.86/x
  3. Step 3: Cross multiply
    53,821.80x = 74,237.04 × 32,296.86
  4. Step 4: Simplify right side
    53,821.80x = 2,397,623,287.69
  5. Step 5: Solve for x
    x = 2,397,623,287.69/53,821.80
  6. Step 6: Final answer
    x = 44,547.44

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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.