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Finding the Fourth Proportional to 76,090.68, 114,061.82 and 31,730.11

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Solution

The fourth proportional to 76,090.68, 114,061.82 and 31,730.11 is: 47,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090.68 : 114,061.82 = 31,730.11 : x
  2. Step 2: Convert to fraction form
    76,090.68/114,061.82 = 31,730.11/x
  3. Step 3: Cross multiply
    76,090.68x = 114,061.82 × 31,730.11
  4. Step 4: Simplify right side
    76,090.68x = 3,619,194,095.40
  5. Step 5: Solve for x
    x = 3,619,194,095.40/76,090.68
  6. Step 6: Final answer
    x = 47,564.22

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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.