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Finding the Fourth Proportional to 56,648.68, 78,178.02 and 31,497.64

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Solution

The fourth proportional to 56,648.68, 78,178.02 and 31,497.64 is: 43,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,648.68 : 78,178.02 = 31,497.64 : x
  2. Step 2: Convert to fraction form
    56,648.68/78,178.02 = 31,497.64/x
  3. Step 3: Cross multiply
    56,648.68x = 78,178.02 × 31,497.64
  4. Step 4: Simplify right side
    56,648.68x = 2,462,423,129.87
  5. Step 5: Solve for x
    x = 2,462,423,129.87/56,648.68
  6. Step 6: Final answer
    x = 43,468.32

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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.