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Finding the Fourth Proportional to 65,200.40, 97,674.84 and 38,926.16

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Solution

The fourth proportional to 65,200.40, 97,674.84 and 38,926.16 is: 58,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.40 : 97,674.84 = 38,926.16 : x
  2. Step 2: Convert to fraction form
    65,200.40/97,674.84 = 38,926.16/x
  3. Step 3: Cross multiply
    65,200.40x = 97,674.84 × 38,926.16
  4. Step 4: Simplify right side
    65,200.40x = 3,802,106,449.81
  5. Step 5: Solve for x
    x = 3,802,106,449.81/65,200.40
  6. Step 6: Final answer
    x = 58,314.16

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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.