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Finding the Fourth Proportional to 32,415, 48,637.14 and 18,564

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Solution

The fourth proportional to 32,415, 48,637.14 and 18,564 is: 27,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415 : 48,637.14 = 18,564 : x
  2. Step 2: Convert to fraction form
    32,415/48,637.14 = 18,564/x
  3. Step 3: Cross multiply
    32,415x = 48,637.14 × 18,564
  4. Step 4: Simplify right side
    32,415x = 902,899,866.96
  5. Step 5: Solve for x
    x = 902,899,866.96/32,415
  6. Step 6: Final answer
    x = 27,854.38

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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.