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Finding the Fourth Proportional to 57,657, 79,566.74 and 32,165.01

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Solution

The fourth proportional to 57,657, 79,566.74 and 32,165.01 is: 44,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657 : 79,566.74 = 32,165.01 : x
  2. Step 2: Convert to fraction form
    57,657/79,566.74 = 32,165.01/x
  3. Step 3: Cross multiply
    57,657x = 79,566.74 × 32,165.01
  4. Step 4: Simplify right side
    57,657x = 2,559,264,987.77
  5. Step 5: Solve for x
    x = 2,559,264,987.77/57,657
  6. Step 6: Final answer
    x = 44,387.76

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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.