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Finding the Fourth Proportional to 59,431.24, 89,159.82 and 17,875

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Solution

The fourth proportional to 59,431.24, 89,159.82 and 17,875 is: 26,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431.24 : 89,159.82 = 17,875 : x
  2. Step 2: Convert to fraction form
    59,431.24/89,159.82 = 17,875/x
  3. Step 3: Cross multiply
    59,431.24x = 89,159.82 × 17,875
  4. Step 4: Simplify right side
    59,431.24x = 1,593,731,782.50
  5. Step 5: Solve for x
    x = 1,593,731,782.50/59,431.24
  6. Step 6: Final answer
    x = 26,816.40

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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.