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Finding the Fourth Proportional to 53,398, 80,103.48 and 16,462

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Solution

The fourth proportional to 53,398, 80,103.48 and 16,462 is: 24,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,398 : 80,103.48 = 16,462 : x
  2. Step 2: Convert to fraction form
    53,398/80,103.48 = 16,462/x
  3. Step 3: Cross multiply
    53,398x = 80,103.48 × 16,462
  4. Step 4: Simplify right side
    53,398x = 1,318,663,487.76
  5. Step 5: Solve for x
    x = 1,318,663,487.76/53,398
  6. Step 6: Final answer
    x = 24,695.00

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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.