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Finding the Fourth Proportional to 32,242.56, 48,364.08 and 8,870.28

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Solution

The fourth proportional to 32,242.56, 48,364.08 and 8,870.28 is: 13,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.56 : 48,364.08 = 8,870.28 : x
  2. Step 2: Convert to fraction form
    32,242.56/48,364.08 = 8,870.28/x
  3. Step 3: Cross multiply
    32,242.56x = 48,364.08 × 8,870.28
  4. Step 4: Simplify right side
    32,242.56x = 429,002,931.54
  5. Step 5: Solve for x
    x = 429,002,931.54/32,242.56
  6. Step 6: Final answer
    x = 13,305.49

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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.