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Finding the Fourth Proportional to 60,509.12, 90,768.02 and 16,135.64

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Solution

The fourth proportional to 60,509.12, 90,768.02 and 16,135.64 is: 24,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,509.12 : 90,768.02 = 16,135.64 : x
  2. Step 2: Convert to fraction form
    60,509.12/90,768.02 = 16,135.64/x
  3. Step 3: Cross multiply
    60,509.12x = 90,768.02 × 16,135.64
  4. Step 4: Simplify right side
    60,509.12x = 1,464,600,094.23
  5. Step 5: Solve for x
    x = 1,464,600,094.23/60,509.12
  6. Step 6: Final answer
    x = 24,204.62

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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.