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Finding the Fourth Proportional to 65,291.16, 97,964.45 and 35,674.40

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Solution

The fourth proportional to 65,291.16, 97,964.45 and 35,674.40 is: 53,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.16 : 97,964.45 = 35,674.40 : x
  2. Step 2: Convert to fraction form
    65,291.16/97,964.45 = 35,674.40/x
  3. Step 3: Cross multiply
    65,291.16x = 97,964.45 × 35,674.40
  4. Step 4: Simplify right side
    65,291.16x = 3,494,822,624.35
  5. Step 5: Solve for x
    x = 3,494,822,624.35/65,291.16
  6. Step 6: Final answer
    x = 53,526.73

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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.