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Finding the Fourth Proportional to 32,667.16, 49,001.28 and 9,294.20

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Solution

The fourth proportional to 32,667.16, 49,001.28 and 9,294.20 is: 13,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667.16 : 49,001.28 = 9,294.20 : x
  2. Step 2: Convert to fraction form
    32,667.16/49,001.28 = 9,294.20/x
  3. Step 3: Cross multiply
    32,667.16x = 49,001.28 × 9,294.20
  4. Step 4: Simplify right side
    32,667.16x = 455,427,696.58
  5. Step 5: Solve for x
    x = 455,427,696.58/32,667.16
  6. Step 6: Final answer
    x = 13,941.45

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1.5x scale

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.