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Finding the Fourth Proportional to 56,143.94, 77,475.34 and 30,645.24

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Solution

The fourth proportional to 56,143.94, 77,475.34 and 30,645.24 is: 42,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.94 : 77,475.34 = 30,645.24 : x
  2. Step 2: Convert to fraction form
    56,143.94/77,475.34 = 30,645.24/x
  3. Step 3: Cross multiply
    56,143.94x = 77,475.34 × 30,645.24
  4. Step 4: Simplify right side
    56,143.94x = 2,374,249,963.78
  5. Step 5: Solve for x
    x = 2,374,249,963.78/56,143.94
  6. Step 6: Final answer
    x = 42,288.63

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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.