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Finding the Fourth Proportional to 98,242.04, 147,364.68 and 35,912

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Solution

The fourth proportional to 98,242.04, 147,364.68 and 35,912 is: 53,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,242.04 : 147,364.68 = 35,912 : x
  2. Step 2: Convert to fraction form
    98,242.04/147,364.68 = 35,912/x
  3. Step 3: Cross multiply
    98,242.04x = 147,364.68 × 35,912
  4. Step 4: Simplify right side
    98,242.04x = 5,292,160,388.16
  5. Step 5: Solve for x
    x = 5,292,160,388.16/98,242.04
  6. Step 6: Final answer
    x = 53,868.59

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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.