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Finding the Fourth Proportional to 35,894.48, 53,827.13 and 15,632.33

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Solution

The fourth proportional to 35,894.48, 53,827.13 and 15,632.33 is: 23,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.48 : 53,827.13 = 15,632.33 : x
  2. Step 2: Convert to fraction form
    35,894.48/53,827.13 = 15,632.33/x
  3. Step 3: Cross multiply
    35,894.48x = 53,827.13 × 15,632.33
  4. Step 4: Simplify right side
    35,894.48x = 841,443,229.06
  5. Step 5: Solve for x
    x = 841,443,229.06/35,894.48
  6. Step 6: Final answer
    x = 23,442.14

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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.