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Finding the Fourth Proportional to 97,533.84, 134,597.16 and 52,821.84

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Solution

The fourth proportional to 97,533.84, 134,597.16 and 52,821.84 is: 72,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,533.84 : 134,597.16 = 52,821.84 : x
  2. Step 2: Convert to fraction form
    97,533.84/134,597.16 = 52,821.84/x
  3. Step 3: Cross multiply
    97,533.84x = 134,597.16 × 52,821.84
  4. Step 4: Simplify right side
    97,533.84x = 7,109,669,649.97
  5. Step 5: Solve for x
    x = 7,109,669,649.97/97,533.84
  6. Step 6: Final answer
    x = 72,894.39

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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.