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Finding the Fourth Proportional to 102,287.75, 153,455.75 and 32,167.06

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Solution

The fourth proportional to 102,287.75, 153,455.75 and 32,167.06 is: 48,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,287.75 : 153,455.75 = 32,167.06 : x
  2. Step 2: Convert to fraction form
    102,287.75/153,455.75 = 32,167.06/x
  3. Step 3: Cross multiply
    102,287.75x = 153,455.75 × 32,167.06
  4. Step 4: Simplify right side
    102,287.75x = 4,936,219,893.75
  5. Step 5: Solve for x
    x = 4,936,219,893.75/102,287.75
  6. Step 6: Final answer
    x = 48,258.17

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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.