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Finding the Fourth Proportional to 32,549.78, 48,820.35 and 9,178.10

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Solution

The fourth proportional to 32,549.78, 48,820.35 and 9,178.10 is: 13,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.78 : 48,820.35 = 9,178.10 : x
  2. Step 2: Convert to fraction form
    32,549.78/48,820.35 = 9,178.10/x
  3. Step 3: Cross multiply
    32,549.78x = 48,820.35 × 9,178.10
  4. Step 4: Simplify right side
    32,549.78x = 448,078,054.34
  5. Step 5: Solve for x
    x = 448,078,054.34/32,549.78
  6. Step 6: Final answer
    x = 13,765.93

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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.