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Finding the Fourth Proportional to 30,943.92, 46,419.84 and 9,877.08

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Solution

The fourth proportional to 30,943.92, 46,419.84 and 9,877.08 is: 14,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.92 : 46,419.84 = 9,877.08 : x
  2. Step 2: Convert to fraction form
    30,943.92/46,419.84 = 9,877.08/x
  3. Step 3: Cross multiply
    30,943.92x = 46,419.84 × 9,877.08
  4. Step 4: Simplify right side
    30,943.92x = 458,492,473.27
  5. Step 5: Solve for x
    x = 458,492,473.27/30,943.92
  6. Step 6: Final answer
    x = 14,816.88

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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.