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Finding the Fourth Proportional to 70,292.84, 105,440.47 and 25,896.74

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Solution

The fourth proportional to 70,292.84, 105,440.47 and 25,896.74 is: 38,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,292.84 : 105,440.47 = 25,896.74 : x
  2. Step 2: Convert to fraction form
    70,292.84/105,440.47 = 25,896.74/x
  3. Step 3: Cross multiply
    70,292.84x = 105,440.47 × 25,896.74
  4. Step 4: Simplify right side
    70,292.84x = 2,730,563,845.12
  5. Step 5: Solve for x
    x = 2,730,563,845.12/70,292.84
  6. Step 6: Final answer
    x = 38,845.55

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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.