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Finding the Fourth Proportional to 56,006.34, 77,288.51 and 30,512.63

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Solution

The fourth proportional to 56,006.34, 77,288.51 and 30,512.63 is: 42,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,006.34 : 77,288.51 = 30,512.63 : x
  2. Step 2: Convert to fraction form
    56,006.34/77,288.51 = 30,512.63/x
  3. Step 3: Cross multiply
    56,006.34x = 77,288.51 × 30,512.63
  4. Step 4: Simplify right side
    56,006.34x = 2,358,275,398.72
  5. Step 5: Solve for x
    x = 2,358,275,398.72/56,006.34
  6. Step 6: Final answer
    x = 42,107.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.