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Finding the Fourth Proportional to 30,659.04, 45,987.48 and 9,882

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Solution

The fourth proportional to 30,659.04, 45,987.48 and 9,882 is: 14,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.04 : 45,987.48 = 9,882 : x
  2. Step 2: Convert to fraction form
    30,659.04/45,987.48 = 9,882/x
  3. Step 3: Cross multiply
    30,659.04x = 45,987.48 × 9,882
  4. Step 4: Simplify right side
    30,659.04x = 454,448,277.36
  5. Step 5: Solve for x
    x = 454,448,277.36/30,659.04
  6. Step 6: Final answer
    x = 14,822.65

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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.