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Finding the Fourth Proportional to 65,438.52, 98,167.06 and 21,054.96

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Solution

The fourth proportional to 65,438.52, 98,167.06 and 21,054.96 is: 31,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438.52 : 98,167.06 = 21,054.96 : x
  2. Step 2: Convert to fraction form
    65,438.52/98,167.06 = 21,054.96/x
  3. Step 3: Cross multiply
    65,438.52x = 98,167.06 × 21,054.96
  4. Step 4: Simplify right side
    65,438.52x = 2,066,903,521.62
  5. Step 5: Solve for x
    x = 2,066,903,521.62/65,438.52
  6. Step 6: Final answer
    x = 31,585.43

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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.