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Finding the Fourth Proportional to 32,058.44, 48,070.04 and 9,865.65

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Solution

The fourth proportional to 32,058.44, 48,070.04 and 9,865.65 is: 14,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.44 : 48,070.04 = 9,865.65 : x
  2. Step 2: Convert to fraction form
    32,058.44/48,070.04 = 9,865.65/x
  3. Step 3: Cross multiply
    32,058.44x = 48,070.04 × 9,865.65
  4. Step 4: Simplify right side
    32,058.44x = 474,242,140.80
  5. Step 5: Solve for x
    x = 474,242,140.80/32,058.44
  6. Step 6: Final answer
    x = 14,793.05

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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.