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Finding the Fourth Proportional to 59,570, 89,328.75 and 27,989.04

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Solution

The fourth proportional to 59,570, 89,328.75 and 27,989.04 is: 41,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,570 : 89,328.75 = 27,989.04 : x
  2. Step 2: Convert to fraction form
    59,570/89,328.75 = 27,989.04/x
  3. Step 3: Cross multiply
    59,570x = 89,328.75 × 27,989.04
  4. Step 4: Simplify right side
    59,570x = 2,500,225,956.90
  5. Step 5: Solve for x
    x = 2,500,225,956.90/59,570
  6. Step 6: Final answer
    x = 41,971.23

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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.