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Finding the Fourth Proportional to 65,222.70, 97,834.05 and 42,672.30

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Solution

The fourth proportional to 65,222.70, 97,834.05 and 42,672.30 is: 64,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.70 : 97,834.05 = 42,672.30 : x
  2. Step 2: Convert to fraction form
    65,222.70/97,834.05 = 42,672.30/x
  3. Step 3: Cross multiply
    65,222.70x = 97,834.05 × 42,672.30
  4. Step 4: Simplify right side
    65,222.70x = 4,174,803,931.82
  5. Step 5: Solve for x
    x = 4,174,803,931.82/65,222.70
  6. Step 6: Final answer
    x = 64,008.45

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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.