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Finding the Fourth Proportional to 65,952.42, 98,927.70 and 16,032.36

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Solution

The fourth proportional to 65,952.42, 98,927.70 and 16,032.36 is: 24,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.42 : 98,927.70 = 16,032.36 : x
  2. Step 2: Convert to fraction form
    65,952.42/98,927.70 = 16,032.36/x
  3. Step 3: Cross multiply
    65,952.42x = 98,927.70 × 16,032.36
  4. Step 4: Simplify right side
    65,952.42x = 1,586,044,500.37
  5. Step 5: Solve for x
    x = 1,586,044,500.37/65,952.42
  6. Step 6: Final answer
    x = 24,048.31

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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.