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Finding the Fourth Proportional to 56,070, 77,376.60 and 33,714

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Solution

The fourth proportional to 56,070, 77,376.60 and 33,714 is: 46,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,070 : 77,376.60 = 33,714 : x
  2. Step 2: Convert to fraction form
    56,070/77,376.60 = 33,714/x
  3. Step 3: Cross multiply
    56,070x = 77,376.60 × 33,714
  4. Step 4: Simplify right side
    56,070x = 2,608,674,692.40
  5. Step 5: Solve for x
    x = 2,608,674,692.40/56,070
  6. Step 6: Final answer
    x = 46,525.32

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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.