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Finding the Fourth Proportional to 51,858, 71,564.40 and 29,502

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Solution

The fourth proportional to 51,858, 71,564.40 and 29,502 is: 40,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858 : 71,564.40 = 29,502 : x
  2. Step 2: Convert to fraction form
    51,858/71,564.40 = 29,502/x
  3. Step 3: Cross multiply
    51,858x = 71,564.40 × 29,502
  4. Step 4: Simplify right side
    51,858x = 2,111,292,928.80
  5. Step 5: Solve for x
    x = 2,111,292,928.80/51,858
  6. Step 6: Final answer
    x = 40,712.96

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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.