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Finding the Fourth Proportional to 57,838.92, 86,756.76 and 18,398.40

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Solution

The fourth proportional to 57,838.92, 86,756.76 and 18,398.40 is: 27,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838.92 : 86,756.76 = 18,398.40 : x
  2. Step 2: Convert to fraction form
    57,838.92/86,756.76 = 18,398.40/x
  3. Step 3: Cross multiply
    57,838.92x = 86,756.76 × 18,398.40
  4. Step 4: Simplify right side
    57,838.92x = 1,596,185,573.18
  5. Step 5: Solve for x
    x = 1,596,185,573.18/57,838.92
  6. Step 6: Final answer
    x = 27,597.08

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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.