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Finding the Fourth Proportional to 59,788.50, 82,510.32 and 37,140

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Solution

The fourth proportional to 59,788.50, 82,510.32 and 37,140 is: 51,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,788.50 : 82,510.32 = 37,140 : x
  2. Step 2: Convert to fraction form
    59,788.50/82,510.32 = 37,140/x
  3. Step 3: Cross multiply
    59,788.50x = 82,510.32 × 37,140
  4. Step 4: Simplify right side
    59,788.50x = 3,064,433,284.80
  5. Step 5: Solve for x
    x = 3,064,433,284.80/59,788.50
  6. Step 6: Final answer
    x = 51,254.56

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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.