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Finding the Fourth Proportional to 65,313.50, 97,970.73 and 16,065.50

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Solution

The fourth proportional to 65,313.50, 97,970.73 and 16,065.50 is: 24,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313.50 : 97,970.73 = 16,065.50 : x
  2. Step 2: Convert to fraction form
    65,313.50/97,970.73 = 16,065.50/x
  3. Step 3: Cross multiply
    65,313.50x = 97,970.73 × 16,065.50
  4. Step 4: Simplify right side
    65,313.50x = 1,573,948,762.82
  5. Step 5: Solve for x
    x = 1,573,948,762.82/65,313.50
  6. Step 6: Final answer
    x = 24,098.37

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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.