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Finding the Fourth Proportional to 52,642.89, 72,626.58 and 32,464.74

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Solution

The fourth proportional to 52,642.89, 72,626.58 and 32,464.74 is: 44,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.89 : 72,626.58 = 32,464.74 : x
  2. Step 2: Convert to fraction form
    52,642.89/72,626.58 = 32,464.74/x
  3. Step 3: Cross multiply
    52,642.89x = 72,626.58 × 32,464.74
  4. Step 4: Simplify right side
    52,642.89x = 2,357,803,309.14
  5. Step 5: Solve for x
    x = 2,357,803,309.14/52,642.89
  6. Step 6: Final answer
    x = 44,788.64

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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.