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Finding the Fourth Proportional to 53,547.72, 73,894.80 and 32,327.88

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Solution

The fourth proportional to 53,547.72, 73,894.80 and 32,327.88 is: 44,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,547.72 : 73,894.80 = 32,327.88 : x
  2. Step 2: Convert to fraction form
    53,547.72/73,894.80 = 32,327.88/x
  3. Step 3: Cross multiply
    53,547.72x = 73,894.80 × 32,327.88
  4. Step 4: Simplify right side
    53,547.72x = 2,388,862,227.02
  5. Step 5: Solve for x
    x = 2,388,862,227.02/53,547.72
  6. Step 6: Final answer
    x = 44,611.84

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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.