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Finding the Fourth Proportional to 58,817, 81,167.46 and 32,321

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Solution

The fourth proportional to 58,817, 81,167.46 and 32,321 is: 44,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,817 : 81,167.46 = 32,321 : x
  2. Step 2: Convert to fraction form
    58,817/81,167.46 = 32,321/x
  3. Step 3: Cross multiply
    58,817x = 81,167.46 × 32,321
  4. Step 4: Simplify right side
    58,817x = 2,623,413,474.66
  5. Step 5: Solve for x
    x = 2,623,413,474.66/58,817
  6. Step 6: Final answer
    x = 44,602.98

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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.