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Finding the Fourth Proportional to 90,821.16, 125,348.22 and 53,088.12

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Solution

The fourth proportional to 90,821.16, 125,348.22 and 53,088.12 is: 73,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,821.16 : 125,348.22 = 53,088.12 : x
  2. Step 2: Convert to fraction form
    90,821.16/125,348.22 = 53,088.12/x
  3. Step 3: Cross multiply
    90,821.16x = 125,348.22 × 53,088.12
  4. Step 4: Simplify right side
    90,821.16x = 6,654,501,345.15
  5. Step 5: Solve for x
    x = 6,654,501,345.15/90,821.16
  6. Step 6: Final answer
    x = 73,270.38

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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.