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Finding the Fourth Proportional to 74,915.75, 112,333.70 and 32,746.48

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Solution

The fourth proportional to 74,915.75, 112,333.70 and 32,746.48 is: 49,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,915.75 : 112,333.70 = 32,746.48 : x
  2. Step 2: Convert to fraction form
    74,915.75/112,333.70 = 32,746.48/x
  3. Step 3: Cross multiply
    74,915.75x = 112,333.70 × 32,746.48
  4. Step 4: Simplify right side
    74,915.75x = 3,678,533,061.41
  5. Step 5: Solve for x
    x = 3,678,533,061.41/74,915.75
  6. Step 6: Final answer
    x = 49,102.26

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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.