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Finding the Fourth Proportional to 32,278.32, 48,417.84 and 10,090.80

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Solution

The fourth proportional to 32,278.32, 48,417.84 and 10,090.80 is: 15,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.32 : 48,417.84 = 10,090.80 : x
  2. Step 2: Convert to fraction form
    32,278.32/48,417.84 = 10,090.80/x
  3. Step 3: Cross multiply
    32,278.32x = 48,417.84 × 10,090.80
  4. Step 4: Simplify right side
    32,278.32x = 488,574,739.87
  5. Step 5: Solve for x
    x = 488,574,739.87/32,278.32
  6. Step 6: Final answer
    x = 15,136.31

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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.