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Finding the Fourth Proportional to 32,402.93, 48,602.78 and 12,685.10

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Solution

The fourth proportional to 32,402.93, 48,602.78 and 12,685.10 is: 19,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.93 : 48,602.78 = 12,685.10 : x
  2. Step 2: Convert to fraction form
    32,402.93/48,602.78 = 12,685.10/x
  3. Step 3: Cross multiply
    32,402.93x = 48,602.78 × 12,685.10
  4. Step 4: Simplify right side
    32,402.93x = 616,531,182.66
  5. Step 5: Solve for x
    x = 616,531,182.66/32,402.93
  6. Step 6: Final answer
    x = 19,027.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.