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Finding the Fourth Proportional to 65,742, 98,592.12 and 21,358.48

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Solution

The fourth proportional to 65,742, 98,592.12 and 21,358.48 is: 32,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 98,592.12 = 21,358.48 : x
  2. Step 2: Convert to fraction form
    65,742/98,592.12 = 21,358.48/x
  3. Step 3: Cross multiply
    65,742x = 98,592.12 × 21,358.48
  4. Step 4: Simplify right side
    65,742x = 2,105,777,823.18
  5. Step 5: Solve for x
    x = 2,105,777,823.18/65,742
  6. Step 6: Final answer
    x = 32,030.94

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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.