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Finding the Fourth Proportional to 65,038.65, 97,556.46 and 29,978.31

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Solution

The fourth proportional to 65,038.65, 97,556.46 and 29,978.31 is: 44,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.65 : 97,556.46 = 29,978.31 : x
  2. Step 2: Convert to fraction form
    65,038.65/97,556.46 = 29,978.31/x
  3. Step 3: Cross multiply
    65,038.65x = 97,556.46 × 29,978.31
  4. Step 4: Simplify right side
    65,038.65x = 2,924,577,687.96
  5. Step 5: Solve for x
    x = 2,924,577,687.96/65,038.65
  6. Step 6: Final answer
    x = 44,966.76

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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.