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Finding the Fourth Proportional to 58,205.88, 87,347.02 and 31,929

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Solution

The fourth proportional to 58,205.88, 87,347.02 and 31,929 is: 47,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.88 : 87,347.02 = 31,929 : x
  2. Step 2: Convert to fraction form
    58,205.88/87,347.02 = 31,929/x
  3. Step 3: Cross multiply
    58,205.88x = 87,347.02 × 31,929
  4. Step 4: Simplify right side
    58,205.88x = 2,788,903,001.58
  5. Step 5: Solve for x
    x = 2,788,903,001.58/58,205.88
  6. Step 6: Final answer
    x = 47,914.45

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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.