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Finding the Fourth Proportional to 56,341.81, 77,748.74 and 30,843.29

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Solution

The fourth proportional to 56,341.81, 77,748.74 and 30,843.29 is: 42,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,341.81 : 77,748.74 = 30,843.29 : x
  2. Step 2: Convert to fraction form
    56,341.81/77,748.74 = 30,843.29/x
  3. Step 3: Cross multiply
    56,341.81x = 77,748.74 × 30,843.29
  4. Step 4: Simplify right side
    56,341.81x = 2,398,027,045.60
  5. Step 5: Solve for x
    x = 2,398,027,045.60/56,341.81
  6. Step 6: Final answer
    x = 42,562.12

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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.