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Finding the Fourth Proportional to 56,314.85, 77,706.80 and 33,649.06

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Solution

The fourth proportional to 56,314.85, 77,706.80 and 33,649.06 is: 46,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,314.85 : 77,706.80 = 33,649.06 : x
  2. Step 2: Convert to fraction form
    56,314.85/77,706.80 = 33,649.06/x
  3. Step 3: Cross multiply
    56,314.85x = 77,706.80 × 33,649.06
  4. Step 4: Simplify right side
    56,314.85x = 2,614,760,387.07
  5. Step 5: Solve for x
    x = 2,614,760,387.07/56,314.85
  6. Step 6: Final answer
    x = 46,431.10

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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.