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Finding the Fourth Proportional to 98,321, 147,482.04 and 24,449

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Solution

The fourth proportional to 98,321, 147,482.04 and 24,449 is: 36,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321 : 147,482.04 = 24,449 : x
  2. Step 2: Convert to fraction form
    98,321/147,482.04 = 24,449/x
  3. Step 3: Cross multiply
    98,321x = 147,482.04 × 24,449
  4. Step 4: Simplify right side
    98,321x = 3,605,788,395.96
  5. Step 5: Solve for x
    x = 3,605,788,395.96/98,321
  6. Step 6: Final answer
    x = 36,673.63

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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.