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Finding the Fourth Proportional to 98,235.50, 135,565 and 53,523.50

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Solution

The fourth proportional to 98,235.50, 135,565 and 53,523.50 is: 73,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235.50 : 135,565 = 53,523.50 : x
  2. Step 2: Convert to fraction form
    98,235.50/135,565 = 53,523.50/x
  3. Step 3: Cross multiply
    98,235.50x = 135,565 × 53,523.50
  4. Step 4: Simplify right side
    98,235.50x = 7,255,913,277.50
  5. Step 5: Solve for x
    x = 7,255,913,277.50/98,235.50
  6. Step 6: Final answer
    x = 73,862.44

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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.