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Finding the Fourth Proportional to 56,312.68, 77,698.40 and 33,659

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Solution

The fourth proportional to 56,312.68, 77,698.40 and 33,659 is: 46,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,312.68 : 77,698.40 = 33,659 : x
  2. Step 2: Convert to fraction form
    56,312.68/77,698.40 = 33,659/x
  3. Step 3: Cross multiply
    56,312.68x = 77,698.40 × 33,659
  4. Step 4: Simplify right side
    56,312.68x = 2,615,250,445.60
  5. Step 5: Solve for x
    x = 2,615,250,445.60/56,312.68
  6. Step 6: Final answer
    x = 46,441.59

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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.