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Finding the Fourth Proportional to 32,089.60, 48,134.40 and 24,313.60

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Solution

The fourth proportional to 32,089.60, 48,134.40 and 24,313.60 is: 36,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.60 : 48,134.40 = 24,313.60 : x
  2. Step 2: Convert to fraction form
    32,089.60/48,134.40 = 24,313.60/x
  3. Step 3: Cross multiply
    32,089.60x = 48,134.40 × 24,313.60
  4. Step 4: Simplify right side
    32,089.60x = 1,170,320,547.84
  5. Step 5: Solve for x
    x = 1,170,320,547.84/32,089.60
  6. Step 6: Final answer
    x = 36,470.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.