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Finding the Fourth Proportional to 56,557, 78,055.86 and 34,201.16

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Solution

The fourth proportional to 56,557, 78,055.86 and 34,201.16 is: 47,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,557 : 78,055.86 = 34,201.16 : x
  2. Step 2: Convert to fraction form
    56,557/78,055.86 = 34,201.16/x
  3. Step 3: Cross multiply
    56,557x = 78,055.86 × 34,201.16
  4. Step 4: Simplify right side
    56,557x = 2,669,600,956.80
  5. Step 5: Solve for x
    x = 2,669,600,956.80/56,557
  6. Step 6: Final answer
    x = 47,201.95

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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.