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Finding the Fourth Proportional to 70,054.76, 96,670.48 and 38,223

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Solution

The fourth proportional to 70,054.76, 96,670.48 and 38,223 is: 52,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054.76 : 96,670.48 = 38,223 : x
  2. Step 2: Convert to fraction form
    70,054.76/96,670.48 = 38,223/x
  3. Step 3: Cross multiply
    70,054.76x = 96,670.48 × 38,223
  4. Step 4: Simplify right side
    70,054.76x = 3,695,035,757.04
  5. Step 5: Solve for x
    x = 3,695,035,757.04/70,054.76
  6. Step 6: Final answer
    x = 52,744.96

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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.