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Finding the Fourth Proportional to 97,236, 134,185.80 and 52,524

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Solution

The fourth proportional to 97,236, 134,185.80 and 52,524 is: 72,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,236 : 134,185.80 = 52,524 : x
  2. Step 2: Convert to fraction form
    97,236/134,185.80 = 52,524/x
  3. Step 3: Cross multiply
    97,236x = 134,185.80 × 52,524
  4. Step 4: Simplify right side
    97,236x = 7,047,974,959.20
  5. Step 5: Solve for x
    x = 7,047,974,959.20/97,236
  6. Step 6: Final answer
    x = 72,483.18

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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.