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Finding the Fourth Proportional to 77,865, 116,817.01 and 22,461

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Solution

The fourth proportional to 77,865, 116,817.01 and 22,461 is: 33,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,865 : 116,817.01 = 22,461 : x
  2. Step 2: Convert to fraction form
    77,865/116,817.01 = 22,461/x
  3. Step 3: Cross multiply
    77,865x = 116,817.01 × 22,461
  4. Step 4: Simplify right side
    77,865x = 2,623,826,805.46
  5. Step 5: Solve for x
    x = 2,623,826,805.46/77,865
  6. Step 6: Final answer
    x = 33,697.13

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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.