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Finding the Fourth Proportional to 38,370.84, 57,211.98 and 37,671

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Solution

The fourth proportional to 38,370.84, 57,211.98 and 37,671 is: 56,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370.84 : 57,211.98 = 37,671 : x
  2. Step 2: Convert to fraction form
    38,370.84/57,211.98 = 37,671/x
  3. Step 3: Cross multiply
    38,370.84x = 57,211.98 × 37,671
  4. Step 4: Simplify right side
    38,370.84x = 2,155,232,498.58
  5. Step 5: Solve for x
    x = 2,155,232,498.58/38,370.84
  6. Step 6: Final answer
    x = 56,168.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.