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Finding the Fourth Proportional to 76,031.62, 114,066.86 and 31,643.62

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Solution

The fourth proportional to 76,031.62, 114,066.86 and 31,643.62 is: 47,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,031.62 : 114,066.86 = 31,643.62 : x
  2. Step 2: Convert to fraction form
    76,031.62/114,066.86 = 31,643.62/x
  3. Step 3: Cross multiply
    76,031.62x = 114,066.86 × 31,643.62
  4. Step 4: Simplify right side
    76,031.62x = 3,609,487,881.21
  5. Step 5: Solve for x
    x = 3,609,487,881.21/76,031.62
  6. Step 6: Final answer
    x = 47,473.51

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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.