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Finding the Fourth Proportional to 56,210, 77,535.86 and 37,082.98

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Solution

The fourth proportional to 56,210, 77,535.86 and 37,082.98 is: 51,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,210 : 77,535.86 = 37,082.98 : x
  2. Step 2: Convert to fraction form
    56,210/77,535.86 = 37,082.98/x
  3. Step 3: Cross multiply
    56,210x = 77,535.86 × 37,082.98
  4. Step 4: Simplify right side
    56,210x = 2,875,260,745.66
  5. Step 5: Solve for x
    x = 2,875,260,745.66/56,210
  6. Step 6: Final answer
    x = 51,152.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.