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Finding the Fourth Proportional to 107,136.40, 160,675.80 and 32,256.40

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Solution

The fourth proportional to 107,136.40, 160,675.80 and 32,256.40 is: 48,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,136.40 : 160,675.80 = 32,256.40 : x
  2. Step 2: Convert to fraction form
    107,136.40/160,675.80 = 32,256.40/x
  3. Step 3: Cross multiply
    107,136.40x = 160,675.80 × 32,256.40
  4. Step 4: Simplify right side
    107,136.40x = 5,182,822,875.12
  5. Step 5: Solve for x
    x = 5,182,822,875.12/107,136.40
  6. Step 6: Final answer
    x = 48,375.93

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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.