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Finding the Fourth Proportional to 65,656, 98,484.12 and 16,408

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Solution

The fourth proportional to 65,656, 98,484.12 and 16,408 is: 24,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656 : 98,484.12 = 16,408 : x
  2. Step 2: Convert to fraction form
    65,656/98,484.12 = 16,408/x
  3. Step 3: Cross multiply
    65,656x = 98,484.12 × 16,408
  4. Step 4: Simplify right side
    65,656x = 1,615,927,440.96
  5. Step 5: Solve for x
    x = 1,615,927,440.96/65,656
  6. Step 6: Final answer
    x = 24,612.03

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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.