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Finding the Fourth Proportional to 65,263.40, 97,898.30 and 34,159.40

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Solution

The fourth proportional to 65,263.40, 97,898.30 and 34,159.40 is: 51,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,263.40 : 97,898.30 = 34,159.40 : x
  2. Step 2: Convert to fraction form
    65,263.40/97,898.30 = 34,159.40/x
  3. Step 3: Cross multiply
    65,263.40x = 97,898.30 × 34,159.40
  4. Step 4: Simplify right side
    65,263.40x = 3,344,147,189.02
  5. Step 5: Solve for x
    x = 3,344,147,189.02/65,263.40
  6. Step 6: Final answer
    x = 51,240.77

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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.