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Finding the Fourth Proportional to 39,117.66, 53,981.42 and 21,212.21

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Solution

The fourth proportional to 39,117.66, 53,981.42 and 21,212.21 is: 29,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,117.66 : 53,981.42 = 21,212.21 : x
  2. Step 2: Convert to fraction form
    39,117.66/53,981.42 = 21,212.21/x
  3. Step 3: Cross multiply
    39,117.66x = 53,981.42 × 21,212.21
  4. Step 4: Simplify right side
    39,117.66x = 1,145,064,841.17
  5. Step 5: Solve for x
    x = 1,145,064,841.17/39,117.66
  6. Step 6: Final answer
    x = 29,272.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.