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Finding the Fourth Proportional to 60,051, 90,076.50 and 16,275

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Solution

The fourth proportional to 60,051, 90,076.50 and 16,275 is: 24,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,051 : 90,076.50 = 16,275 : x
  2. Step 2: Convert to fraction form
    60,051/90,076.50 = 16,275/x
  3. Step 3: Cross multiply
    60,051x = 90,076.50 × 16,275
  4. Step 4: Simplify right side
    60,051x = 1,465,995,037.50
  5. Step 5: Solve for x
    x = 1,465,995,037.50/60,051
  6. Step 6: Final answer
    x = 24,412.50

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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.