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Finding the Fourth Proportional to 98,397.95, 147,618.41 and 31,844.81

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Solution

The fourth proportional to 98,397.95, 147,618.41 and 31,844.81 is: 47,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.95 : 147,618.41 = 31,844.81 : x
  2. Step 2: Convert to fraction form
    98,397.95/147,618.41 = 31,844.81/x
  3. Step 3: Cross multiply
    98,397.95x = 147,618.41 × 31,844.81
  4. Step 4: Simplify right side
    98,397.95x = 4,700,879,321.64
  5. Step 5: Solve for x
    x = 4,700,879,321.64/98,397.95
  6. Step 6: Final answer
    x = 47,774.16

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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.