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Finding the Fourth Proportional to 98,806.42, 148,211.84 and 35,631.64

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Solution

The fourth proportional to 98,806.42, 148,211.84 and 35,631.64 is: 53,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,806.42 : 148,211.84 = 35,631.64 : x
  2. Step 2: Convert to fraction form
    98,806.42/148,211.84 = 35,631.64/x
  3. Step 3: Cross multiply
    98,806.42x = 148,211.84 × 35,631.64
  4. Step 4: Simplify right side
    98,806.42x = 5,281,030,748.46
  5. Step 5: Solve for x
    x = 5,281,030,748.46/98,806.42
  6. Step 6: Final answer
    x = 53,448.26

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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.