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Finding the Fourth Proportional to 52,616.84, 78,897.54 and 35,981.60

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Solution

The fourth proportional to 52,616.84, 78,897.54 and 35,981.60 is: 53,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616.84 : 78,897.54 = 35,981.60 : x
  2. Step 2: Convert to fraction form
    52,616.84/78,897.54 = 35,981.60/x
  3. Step 3: Cross multiply
    52,616.84x = 78,897.54 × 35,981.60
  4. Step 4: Simplify right side
    52,616.84x = 2,838,859,725.26
  5. Step 5: Solve for x
    x = 2,838,859,725.26/52,616.84
  6. Step 6: Final answer
    x = 53,953.44

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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.