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Finding the Fourth Proportional to 32,303.76, 48,454.26 and 10,116.65

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Solution

The fourth proportional to 32,303.76, 48,454.26 and 10,116.65 is: 15,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,303.76 : 48,454.26 = 10,116.65 : x
  2. Step 2: Convert to fraction form
    32,303.76/48,454.26 = 10,116.65/x
  3. Step 3: Cross multiply
    32,303.76x = 48,454.26 × 10,116.65
  4. Step 4: Simplify right side
    32,303.76x = 490,194,547.16
  5. Step 5: Solve for x
    x = 490,194,547.16/32,303.76
  6. Step 6: Final answer
    x = 15,174.54

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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.