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Finding the Fourth Proportional to 32,465.43, 48,693.27 and 10,275.93

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Solution

The fourth proportional to 32,465.43, 48,693.27 and 10,275.93 is: 15,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.43 : 48,693.27 = 10,275.93 : x
  2. Step 2: Convert to fraction form
    32,465.43/48,693.27 = 10,275.93/x
  3. Step 3: Cross multiply
    32,465.43x = 48,693.27 × 10,275.93
  4. Step 4: Simplify right side
    32,465.43x = 500,368,672.53
  5. Step 5: Solve for x
    x = 500,368,672.53/32,465.43
  6. Step 6: Final answer
    x = 15,412.35

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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.