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Finding the Fourth Proportional to 56,237.94, 77,578.22 and 37,098.78

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Solution

The fourth proportional to 56,237.94, 77,578.22 and 37,098.78 is: 51,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,237.94 : 77,578.22 = 37,098.78 : x
  2. Step 2: Convert to fraction form
    56,237.94/77,578.22 = 37,098.78/x
  3. Step 3: Cross multiply
    56,237.94x = 77,578.22 × 37,098.78
  4. Step 4: Simplify right side
    56,237.94x = 2,878,057,316.57
  5. Step 5: Solve for x
    x = 2,878,057,316.57/56,237.94
  6. Step 6: Final answer
    x = 51,176.44

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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.