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Finding the Fourth Proportional to 58,983.52, 81,407.76 and 35,124

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Solution

The fourth proportional to 58,983.52, 81,407.76 and 35,124 is: 48,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,983.52 : 81,407.76 = 35,124 : x
  2. Step 2: Convert to fraction form
    58,983.52/81,407.76 = 35,124/x
  3. Step 3: Cross multiply
    58,983.52x = 81,407.76 × 35,124
  4. Step 4: Simplify right side
    58,983.52x = 2,859,366,162.24
  5. Step 5: Solve for x
    x = 2,859,366,162.24/58,983.52
  6. Step 6: Final answer
    x = 48,477.37

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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.