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Finding the Fourth Proportional to 52,938.77, 79,407.14 and 21,348.16

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Solution

The fourth proportional to 52,938.77, 79,407.14 and 21,348.16 is: 32,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938.77 : 79,407.14 = 21,348.16 : x
  2. Step 2: Convert to fraction form
    52,938.77/79,407.14 = 21,348.16/x
  3. Step 3: Cross multiply
    52,938.77x = 79,407.14 × 21,348.16
  4. Step 4: Simplify right side
    52,938.77x = 1,695,196,024.60
  5. Step 5: Solve for x
    x = 1,695,196,024.60/52,938.77
  6. Step 6: Final answer
    x = 32,021.83

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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.