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Finding the Fourth Proportional to 54,636.32, 75,391.88 and 30,762.38

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Solution

The fourth proportional to 54,636.32, 75,391.88 and 30,762.38 is: 42,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,636.32 : 75,391.88 = 30,762.38 : x
  2. Step 2: Convert to fraction form
    54,636.32/75,391.88 = 30,762.38/x
  3. Step 3: Cross multiply
    54,636.32x = 75,391.88 × 30,762.38
  4. Step 4: Simplify right side
    54,636.32x = 2,319,233,661.47
  5. Step 5: Solve for x
    x = 2,319,233,661.47/54,636.32
  6. Step 6: Final answer
    x = 42,448.57

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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.