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Finding the Fourth Proportional to 56,034, 77,326.92 and 33,678

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Solution

The fourth proportional to 56,034, 77,326.92 and 33,678 is: 46,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034 : 77,326.92 = 33,678 : x
  2. Step 2: Convert to fraction form
    56,034/77,326.92 = 33,678/x
  3. Step 3: Cross multiply
    56,034x = 77,326.92 × 33,678
  4. Step 4: Simplify right side
    56,034x = 2,604,216,011.76
  5. Step 5: Solve for x
    x = 2,604,216,011.76/56,034
  6. Step 6: Final answer
    x = 46,475.64

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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.