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Finding the Fourth Proportional to 98,260, 147,390.96 and 24,388

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Solution

The fourth proportional to 98,260, 147,390.96 and 24,388 is: 36,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,260 : 147,390.96 = 24,388 : x
  2. Step 2: Convert to fraction form
    98,260/147,390.96 = 24,388/x
  3. Step 3: Cross multiply
    98,260x = 147,390.96 × 24,388
  4. Step 4: Simplify right side
    98,260x = 3,594,570,732.48
  5. Step 5: Solve for x
    x = 3,594,570,732.48/98,260
  6. Step 6: Final answer
    x = 36,582.24

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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.