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Finding the Fourth Proportional to 52,355.84, 78,533.76 and 24,656

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Solution

The fourth proportional to 52,355.84, 78,533.76 and 24,656 is: 36,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,355.84 : 78,533.76 = 24,656 : x
  2. Step 2: Convert to fraction form
    52,355.84/78,533.76 = 24,656/x
  3. Step 3: Cross multiply
    52,355.84x = 78,533.76 × 24,656
  4. Step 4: Simplify right side
    52,355.84x = 1,936,328,386.56
  5. Step 5: Solve for x
    x = 1,936,328,386.56/52,355.84
  6. Step 6: Final answer
    x = 36,984

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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.