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Finding the Fourth Proportional to 60,516, 90,776.16 and 16,145.28

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Solution

The fourth proportional to 60,516, 90,776.16 and 16,145.28 is: 24,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,516 : 90,776.16 = 16,145.28 : x
  2. Step 2: Convert to fraction form
    60,516/90,776.16 = 16,145.28/x
  3. Step 3: Cross multiply
    60,516x = 90,776.16 × 16,145.28
  4. Step 4: Simplify right side
    60,516x = 1,465,606,520.52
  5. Step 5: Solve for x
    x = 1,465,606,520.52/60,516
  6. Step 6: Final answer
    x = 24,218.50

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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.