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Finding the Fourth Proportional to 56,569, 78,065.24 and 31,420.84

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Solution

The fourth proportional to 56,569, 78,065.24 and 31,420.84 is: 43,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,569 : 78,065.24 = 31,420.84 : x
  2. Step 2: Convert to fraction form
    56,569/78,065.24 = 31,420.84/x
  3. Step 3: Cross multiply
    56,569x = 78,065.24 × 31,420.84
  4. Step 4: Simplify right side
    56,569x = 2,452,875,415.60
  5. Step 5: Solve for x
    x = 2,452,875,415.60/56,569
  6. Step 6: Final answer
    x = 43,360.77

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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.