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Finding the Fourth Proportional to 32,493.32, 48,730.05 and 13,773

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Solution

The fourth proportional to 32,493.32, 48,730.05 and 13,773 is: 20,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.32 : 48,730.05 = 13,773 : x
  2. Step 2: Convert to fraction form
    32,493.32/48,730.05 = 13,773/x
  3. Step 3: Cross multiply
    32,493.32x = 48,730.05 × 13,773
  4. Step 4: Simplify right side
    32,493.32x = 671,158,978.65
  5. Step 5: Solve for x
    x = 671,158,978.65/32,493.32
  6. Step 6: Final answer
    x = 20,655.29

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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.