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Finding the Fourth Proportional to 32,280.98, 48,421.51 and 10,094.47

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Solution

The fourth proportional to 32,280.98, 48,421.51 and 10,094.47 is: 15,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280.98 : 48,421.51 = 10,094.47 : x
  2. Step 2: Convert to fraction form
    32,280.98/48,421.51 = 10,094.47/x
  3. Step 3: Cross multiply
    32,280.98x = 48,421.51 × 10,094.47
  4. Step 4: Simplify right side
    32,280.98x = 488,789,333.76
  5. Step 5: Solve for x
    x = 488,789,333.76/32,280.98
  6. Step 6: Final answer
    x = 15,141.72

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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.