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Finding the Fourth Proportional to 32,319.83, 48,467.75 and 11,254.47

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Solution

The fourth proportional to 32,319.83, 48,467.75 and 11,254.47 is: 16,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319.83 : 48,467.75 = 11,254.47 : x
  2. Step 2: Convert to fraction form
    32,319.83/48,467.75 = 11,254.47/x
  3. Step 3: Cross multiply
    32,319.83x = 48,467.75 × 11,254.47
  4. Step 4: Simplify right side
    32,319.83x = 545,478,642.52
  5. Step 5: Solve for x
    x = 545,478,642.52/32,319.83
  6. Step 6: Final answer
    x = 16,877.52

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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.