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Finding the Fourth Proportional to 59,983.66, 89,922 and 30,386.26

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Solution

The fourth proportional to 59,983.66, 89,922 and 30,386.26 is: 45,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,983.66 : 89,922 = 30,386.26 : x
  2. Step 2: Convert to fraction form
    59,983.66/89,922 = 30,386.26/x
  3. Step 3: Cross multiply
    59,983.66x = 89,922 × 30,386.26
  4. Step 4: Simplify right side
    59,983.66x = 2,732,393,271.72
  5. Step 5: Solve for x
    x = 2,732,393,271.72/59,983.66
  6. Step 6: Final answer
    x = 45,552.29

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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.