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Finding the Fourth Proportional to 97,235, 134,184.32 and 52,523

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Solution

The fourth proportional to 97,235, 134,184.32 and 52,523 is: 72,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,235 : 134,184.32 = 52,523 : x
  2. Step 2: Convert to fraction form
    97,235/134,184.32 = 52,523/x
  3. Step 3: Cross multiply
    97,235x = 134,184.32 × 52,523
  4. Step 4: Simplify right side
    97,235x = 7,047,763,039.36
  5. Step 5: Solve for x
    x = 7,047,763,039.36/97,235
  6. Step 6: Final answer
    x = 72,481.75

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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.