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Finding the Fourth Proportional to 56,271.36, 77,645.28 and 31,116

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Solution

The fourth proportional to 56,271.36, 77,645.28 and 31,116 is: 42,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,271.36 : 77,645.28 = 31,116 : x
  2. Step 2: Convert to fraction form
    56,271.36/77,645.28 = 31,116/x
  3. Step 3: Cross multiply
    56,271.36x = 77,645.28 × 31,116
  4. Step 4: Simplify right side
    56,271.36x = 2,416,010,532.48
  5. Step 5: Solve for x
    x = 2,416,010,532.48/56,271.36
  6. Step 6: Final answer
    x = 42,934.99

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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.