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Finding the Fourth Proportional to 29,931.90, 41,298.03 and 19,327.74

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Solution

The fourth proportional to 29,931.90, 41,298.03 and 19,327.74 is: 26,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931.90 : 41,298.03 = 19,327.74 : x
  2. Step 2: Convert to fraction form
    29,931.90/41,298.03 = 19,327.74/x
  3. Step 3: Cross multiply
    29,931.90x = 41,298.03 × 19,327.74
  4. Step 4: Simplify right side
    29,931.90x = 798,197,586.35
  5. Step 5: Solve for x
    x = 798,197,586.35/29,931.90
  6. Step 6: Final answer
    x = 26,667.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.