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Finding the Fourth Proportional to 56,277.36, 77,653.56 and 31,122

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Solution

The fourth proportional to 56,277.36, 77,653.56 and 31,122 is: 42,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,277.36 : 77,653.56 = 31,122 : x
  2. Step 2: Convert to fraction form
    56,277.36/77,653.56 = 31,122/x
  3. Step 3: Cross multiply
    56,277.36x = 77,653.56 × 31,122
  4. Step 4: Simplify right side
    56,277.36x = 2,416,734,094.32
  5. Step 5: Solve for x
    x = 2,416,734,094.32/56,277.36
  6. Step 6: Final answer
    x = 42,943.27

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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.