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Finding the Fourth Proportional to 65,985.92, 99,004.80 and 29,024

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Solution

The fourth proportional to 65,985.92, 99,004.80 and 29,024 is: 43,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,985.92 : 99,004.80 = 29,024 : x
  2. Step 2: Convert to fraction form
    65,985.92/99,004.80 = 29,024/x
  3. Step 3: Cross multiply
    65,985.92x = 99,004.80 × 29,024
  4. Step 4: Simplify right side
    65,985.92x = 2,873,515,315.20
  5. Step 5: Solve for x
    x = 2,873,515,315.20/65,985.92
  6. Step 6: Final answer
    x = 43,547.40

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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.