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Finding the Fourth Proportional to 58,798, 81,141.24 and 32,302

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Solution

The fourth proportional to 58,798, 81,141.24 and 32,302 is: 44,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,798 : 81,141.24 = 32,302 : x
  2. Step 2: Convert to fraction form
    58,798/81,141.24 = 32,302/x
  3. Step 3: Cross multiply
    58,798x = 81,141.24 × 32,302
  4. Step 4: Simplify right side
    58,798x = 2,621,024,334.48
  5. Step 5: Solve for x
    x = 2,621,024,334.48/58,798
  6. Step 6: Final answer
    x = 44,576.76

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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.