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Finding the Fourth Proportional to 98,315, 147,473.06 and 24,443

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Solution

The fourth proportional to 98,315, 147,473.06 and 24,443 is: 36,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,315 : 147,473.06 = 24,443 : x
  2. Step 2: Convert to fraction form
    98,315/147,473.06 = 24,443/x
  3. Step 3: Cross multiply
    98,315x = 147,473.06 × 24,443
  4. Step 4: Simplify right side
    98,315x = 3,604,684,005.58
  5. Step 5: Solve for x
    x = 3,604,684,005.58/98,315
  6. Step 6: Final answer
    x = 36,664.64

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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.