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Finding the Fourth Proportional to 98,442, 147,664.08 and 24,570

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Solution

The fourth proportional to 98,442, 147,664.08 and 24,570 is: 36,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 147,664.08 = 24,570 : x
  2. Step 2: Convert to fraction form
    98,442/147,664.08 = 24,570/x
  3. Step 3: Cross multiply
    98,442x = 147,664.08 × 24,570
  4. Step 4: Simplify right side
    98,442x = 3,628,106,445.60
  5. Step 5: Solve for x
    x = 3,628,106,445.60/98,442
  6. Step 6: Final answer
    x = 36,855.27

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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.