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Finding the Fourth Proportional to 107,963.76, 161,938.08 and 37,848

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Solution

The fourth proportional to 107,963.76, 161,938.08 and 37,848 is: 56,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,963.76 : 161,938.08 = 37,848 : x
  2. Step 2: Convert to fraction form
    107,963.76/161,938.08 = 37,848/x
  3. Step 3: Cross multiply
    107,963.76x = 161,938.08 × 37,848
  4. Step 4: Simplify right side
    107,963.76x = 6,129,032,451.84
  5. Step 5: Solve for x
    x = 6,129,032,451.84/107,963.76
  6. Step 6: Final answer
    x = 56,769.35

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1.5x scale

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.