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Finding the Fourth Proportional to 65,306.82, 90,123.13 and 35,499.46

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Solution

The fourth proportional to 65,306.82, 90,123.13 and 35,499.46 is: 48,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.82 : 90,123.13 = 35,499.46 : x
  2. Step 2: Convert to fraction form
    65,306.82/90,123.13 = 35,499.46/x
  3. Step 3: Cross multiply
    65,306.82x = 90,123.13 × 35,499.46
  4. Step 4: Simplify right side
    65,306.82x = 3,199,322,448.51
  5. Step 5: Solve for x
    x = 3,199,322,448.51/65,306.82
  6. Step 6: Final answer
    x = 48,989.10

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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.