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Finding the Fourth Proportional to 59,440.50, 82,030.32 and 34,290

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Solution

The fourth proportional to 59,440.50, 82,030.32 and 34,290 is: 47,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,440.50 : 82,030.32 = 34,290 : x
  2. Step 2: Convert to fraction form
    59,440.50/82,030.32 = 34,290/x
  3. Step 3: Cross multiply
    59,440.50x = 82,030.32 × 34,290
  4. Step 4: Simplify right side
    59,440.50x = 2,812,819,672.80
  5. Step 5: Solve for x
    x = 2,812,819,672.80/59,440.50
  6. Step 6: Final answer
    x = 47,321.60

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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.