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Finding the Fourth Proportional to 83,894.84, 115,776.84 and 47,598.74

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Solution

The fourth proportional to 83,894.84, 115,776.84 and 47,598.74 is: 65,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.84 : 115,776.84 = 47,598.74 : x
  2. Step 2: Convert to fraction form
    83,894.84/115,776.84 = 47,598.74/x
  3. Step 3: Cross multiply
    83,894.84x = 115,776.84 × 47,598.74
  4. Step 4: Simplify right side
    83,894.84x = 5,510,831,705.18
  5. Step 5: Solve for x
    x = 5,510,831,705.18/83,894.84
  6. Step 6: Final answer
    x = 65,687.37

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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.