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Finding the Fourth Proportional to 96,509.94, 144,737.16 and 33,313.64

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Solution

The fourth proportional to 96,509.94, 144,737.16 and 33,313.64 is: 49,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.94 : 144,737.16 = 33,313.64 : x
  2. Step 2: Convert to fraction form
    96,509.94/144,737.16 = 33,313.64/x
  3. Step 3: Cross multiply
    96,509.94x = 144,737.16 × 33,313.64
  4. Step 4: Simplify right side
    96,509.94x = 4,821,721,642.86
  5. Step 5: Solve for x
    x = 4,821,721,642.86/96,509.94
  6. Step 6: Final answer
    x = 49,960.88

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1.5x scale

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.