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Finding the Fourth Proportional to 56,218, 77,580.84 and 33,866.32

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Solution

The fourth proportional to 56,218, 77,580.84 and 33,866.32 is: 46,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,218 : 77,580.84 = 33,866.32 : x
  2. Step 2: Convert to fraction form
    56,218/77,580.84 = 33,866.32/x
  3. Step 3: Cross multiply
    56,218x = 77,580.84 × 33,866.32
  4. Step 4: Simplify right side
    56,218x = 2,627,377,553.31
  5. Step 5: Solve for x
    x = 2,627,377,553.31/56,218
  6. Step 6: Final answer
    x = 46,735.52

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1.5x scale

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.