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Finding the Fourth Proportional to 89,947, 134,927.04 and 34,543

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Solution

The fourth proportional to 89,947, 134,927.04 and 34,543 is: 51,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,947 : 134,927.04 = 34,543 : x
  2. Step 2: Convert to fraction form
    89,947/134,927.04 = 34,543/x
  3. Step 3: Cross multiply
    89,947x = 134,927.04 × 34,543
  4. Step 4: Simplify right side
    89,947x = 4,660,784,742.72
  5. Step 5: Solve for x
    x = 4,660,784,742.72/89,947
  6. Step 6: Final answer
    x = 51,817.01

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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.