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Finding the Fourth Proportional to 58,914.82, 81,271.47 and 35,024.50

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Solution

The fourth proportional to 58,914.82, 81,271.47 and 35,024.50 is: 48,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,914.82 : 81,271.47 = 35,024.50 : x
  2. Step 2: Convert to fraction form
    58,914.82/81,271.47 = 35,024.50/x
  3. Step 3: Cross multiply
    58,914.82x = 81,271.47 × 35,024.50
  4. Step 4: Simplify right side
    58,914.82x = 2,846,492,601.02
  5. Step 5: Solve for x
    x = 2,846,492,601.02/58,914.82
  6. Step 6: Final answer
    x = 48,315.39

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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.