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Finding the Fourth Proportional to 56,628.34, 78,148 and 31,135.81

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Solution

The fourth proportional to 56,628.34, 78,148 and 31,135.81 is: 42,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,628.34 : 78,148 = 31,135.81 : x
  2. Step 2: Convert to fraction form
    56,628.34/78,148 = 31,135.81/x
  3. Step 3: Cross multiply
    56,628.34x = 78,148 × 31,135.81
  4. Step 4: Simplify right side
    56,628.34x = 2,433,201,279.88
  5. Step 5: Solve for x
    x = 2,433,201,279.88/56,628.34
  6. Step 6: Final answer
    x = 42,967.91

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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.