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Finding the Fourth Proportional to 65,038.91, 97,556.83 and 29,978.56

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Solution

The fourth proportional to 65,038.91, 97,556.83 and 29,978.56 is: 44,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.91 : 97,556.83 = 29,978.56 : x
  2. Step 2: Convert to fraction form
    65,038.91/97,556.83 = 29,978.56/x
  3. Step 3: Cross multiply
    65,038.91x = 97,556.83 × 29,978.56
  4. Step 4: Simplify right side
    65,038.91x = 2,924,613,281.56
  5. Step 5: Solve for x
    x = 2,924,613,281.56/65,038.91
  6. Step 6: Final answer
    x = 44,967.14

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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.