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Finding the Fourth Proportional to 106,215.50, 159,323.25 and 32,343.50

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Solution

The fourth proportional to 106,215.50, 159,323.25 and 32,343.50 is: 48,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215.50 : 159,323.25 = 32,343.50 : x
  2. Step 2: Convert to fraction form
    106,215.50/159,323.25 = 32,343.50/x
  3. Step 3: Cross multiply
    106,215.50x = 159,323.25 × 32,343.50
  4. Step 4: Simplify right side
    106,215.50x = 5,153,071,536.38
  5. Step 5: Solve for x
    x = 5,153,071,536.38/106,215.50
  6. Step 6: Final answer
    x = 48,515.25

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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.