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Finding the Fourth Proportional to 98,235, 135,564.30 and 53,523

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Solution

The fourth proportional to 98,235, 135,564.30 and 53,523 is: 73,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235 : 135,564.30 = 53,523 : x
  2. Step 2: Convert to fraction form
    98,235/135,564.30 = 53,523/x
  3. Step 3: Cross multiply
    98,235x = 135,564.30 × 53,523
  4. Step 4: Simplify right side
    98,235x = 7,255,808,028.90
  5. Step 5: Solve for x
    x = 7,255,808,028.90/98,235
  6. Step 6: Final answer
    x = 73,861.74

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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.