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Finding the Fourth Proportional to 32,657.19, 48,980.88 and 10,467.57

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Solution

The fourth proportional to 32,657.19, 48,980.88 and 10,467.57 is: 15,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.19 : 48,980.88 = 10,467.57 : x
  2. Step 2: Convert to fraction form
    32,657.19/48,980.88 = 10,467.57/x
  3. Step 3: Cross multiply
    32,657.19x = 48,980.88 × 10,467.57
  4. Step 4: Simplify right side
    32,657.19x = 512,710,790.06
  5. Step 5: Solve for x
    x = 512,710,790.06/32,657.19
  6. Step 6: Final answer
    x = 15,699.78

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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.