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Finding the Fourth Proportional to 35,838.94, 49,444.94 and 24,641.50

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Solution

The fourth proportional to 35,838.94, 49,444.94 and 24,641.50 is: 33,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.94 : 49,444.94 = 24,641.50 : x
  2. Step 2: Convert to fraction form
    35,838.94/49,444.94 = 24,641.50/x
  3. Step 3: Cross multiply
    35,838.94x = 49,444.94 × 24,641.50
  4. Step 4: Simplify right side
    35,838.94x = 1,218,397,489.01
  5. Step 5: Solve for x
    x = 1,218,397,489.01/35,838.94
  6. Step 6: Final answer
    x = 33,996.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.