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Finding the Fourth Proportional to 102,209.56, 153,320.83 and 32,091.64

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Solution

The fourth proportional to 102,209.56, 153,320.83 and 32,091.64 is: 48,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.56 : 153,320.83 = 32,091.64 : x
  2. Step 2: Convert to fraction form
    102,209.56/153,320.83 = 32,091.64/x
  3. Step 3: Cross multiply
    102,209.56x = 153,320.83 × 32,091.64
  4. Step 4: Simplify right side
    102,209.56x = 4,920,316,417.33
  5. Step 5: Solve for x
    x = 4,920,316,417.33/102,209.56
  6. Step 6: Final answer
    x = 48,139.49

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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.