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Finding the Fourth Proportional to 58,570.31, 80,823.84 and 34,368.02

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Solution

The fourth proportional to 58,570.31, 80,823.84 and 34,368.02 is: 47,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,570.31 : 80,823.84 = 34,368.02 : x
  2. Step 2: Convert to fraction form
    58,570.31/80,823.84 = 34,368.02/x
  3. Step 3: Cross multiply
    58,570.31x = 80,823.84 × 34,368.02
  4. Step 4: Simplify right side
    58,570.31x = 2,777,754,975.70
  5. Step 5: Solve for x
    x = 2,777,754,975.70/58,570.31
  6. Step 6: Final answer
    x = 47,425.99

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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.