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Finding the Fourth Proportional to 58,688.19, 80,989.75 and 31,830.69

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Solution

The fourth proportional to 58,688.19, 80,989.75 and 31,830.69 is: 43,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,688.19 : 80,989.75 = 31,830.69 : x
  2. Step 2: Convert to fraction form
    58,688.19/80,989.75 = 31,830.69/x
  3. Step 3: Cross multiply
    58,688.19x = 80,989.75 × 31,830.69
  4. Step 4: Simplify right side
    58,688.19x = 2,577,959,625.43
  5. Step 5: Solve for x
    x = 2,577,959,625.43/58,688.19
  6. Step 6: Final answer
    x = 43,926.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.