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Finding the Fourth Proportional to 32,509.85, 48,751.00 and 10,317.26

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Solution

The fourth proportional to 32,509.85, 48,751.00 and 10,317.26 is: 15,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.85 : 48,751.00 = 10,317.26 : x
  2. Step 2: Convert to fraction form
    32,509.85/48,751.00 = 10,317.26/x
  3. Step 3: Cross multiply
    32,509.85x = 48,751.00 × 10,317.26
  4. Step 4: Simplify right side
    32,509.85x = 502,976,838.34
  5. Step 5: Solve for x
    x = 502,976,838.34/32,509.85
  6. Step 6: Final answer
    x = 15,471.52

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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.