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Finding the Fourth Proportional to 101,532.40, 152,438.35 and 51,646.25

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Solution

The fourth proportional to 101,532.40, 152,438.35 and 51,646.25 is: 77,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,532.40 : 152,438.35 = 51,646.25 : x
  2. Step 2: Convert to fraction form
    101,532.40/152,438.35 = 51,646.25/x
  3. Step 3: Cross multiply
    101,532.40x = 152,438.35 × 51,646.25
  4. Step 4: Simplify right side
    101,532.40x = 7,872,869,198.25
  5. Step 5: Solve for x
    x = 7,872,869,198.25/101,532.40
  6. Step 6: Final answer
    x = 77,540.47

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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.