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Finding the Fourth Proportional to 56,025, 77,314.50 and 33,669

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Solution

The fourth proportional to 56,025, 77,314.50 and 33,669 is: 46,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,025 : 77,314.50 = 33,669 : x
  2. Step 2: Convert to fraction form
    56,025/77,314.50 = 33,669/x
  3. Step 3: Cross multiply
    56,025x = 77,314.50 × 33,669
  4. Step 4: Simplify right side
    56,025x = 2,603,101,900.50
  5. Step 5: Solve for x
    x = 2,603,101,900.50/56,025
  6. Step 6: Final answer
    x = 46,463.22

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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.