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Finding the Fourth Proportional to 32,499.68, 48,756.72 and 10,314.32

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Solution

The fourth proportional to 32,499.68, 48,756.72 and 10,314.32 is: 15,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499.68 : 48,756.72 = 10,314.32 : x
  2. Step 2: Convert to fraction form
    32,499.68/48,756.72 = 10,314.32/x
  3. Step 3: Cross multiply
    32,499.68x = 48,756.72 × 10,314.32
  4. Step 4: Simplify right side
    32,499.68x = 502,892,412.23
  5. Step 5: Solve for x
    x = 502,892,412.23/32,499.68
  6. Step 6: Final answer
    x = 15,473.77

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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.