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Finding the Fourth Proportional to 65,263.50, 97,895.34 and 28,327.50

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Solution

The fourth proportional to 65,263.50, 97,895.34 and 28,327.50 is: 42,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,263.50 : 97,895.34 = 28,327.50 : x
  2. Step 2: Convert to fraction form
    65,263.50/97,895.34 = 28,327.50/x
  3. Step 3: Cross multiply
    65,263.50x = 97,895.34 × 28,327.50
  4. Step 4: Simplify right side
    65,263.50x = 2,773,130,243.85
  5. Step 5: Solve for x
    x = 2,773,130,243.85/65,263.50
  6. Step 6: Final answer
    x = 42,491.29

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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.