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Finding the Fourth Proportional to 98,509.01, 147,696.02 and 35,327.78

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Solution

The fourth proportional to 98,509.01, 147,696.02 and 35,327.78 is: 52,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509.01 : 147,696.02 = 35,327.78 : x
  2. Step 2: Convert to fraction form
    98,509.01/147,696.02 = 35,327.78/x
  3. Step 3: Cross multiply
    98,509.01x = 147,696.02 × 35,327.78
  4. Step 4: Simplify right side
    98,509.01x = 5,217,771,586.32
  5. Step 5: Solve for x
    x = 5,217,771,586.32/98,509.01
  6. Step 6: Final answer
    x = 52,967.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.