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Finding the Fourth Proportional to 50,071.32, 75,126 and 23,432.40

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Solution

The fourth proportional to 50,071.32, 75,126 and 23,432.40 is: 35,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.32 : 75,126 = 23,432.40 : x
  2. Step 2: Convert to fraction form
    50,071.32/75,126 = 23,432.40/x
  3. Step 3: Cross multiply
    50,071.32x = 75,126 × 23,432.40
  4. Step 4: Simplify right side
    50,071.32x = 1,760,382,482.40
  5. Step 5: Solve for x
    x = 1,760,382,482.40/50,071.32
  6. Step 6: Final answer
    x = 35,157.50

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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.