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Finding the Fourth Proportional to 59,701, 89,551.50 and 22,765

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Solution

The fourth proportional to 59,701, 89,551.50 and 22,765 is: 34,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,701 : 89,551.50 = 22,765 : x
  2. Step 2: Convert to fraction form
    59,701/89,551.50 = 22,765/x
  3. Step 3: Cross multiply
    59,701x = 89,551.50 × 22,765
  4. Step 4: Simplify right side
    59,701x = 2,038,639,897.50
  5. Step 5: Solve for x
    x = 2,038,639,897.50/59,701
  6. Step 6: Final answer
    x = 34,147.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.