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Finding the Fourth Proportional to 51,877.60, 77,643.60 and 45,656.80

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Solution

The fourth proportional to 51,877.60, 77,643.60 and 45,656.80 is: 68,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877.60 : 77,643.60 = 45,656.80 : x
  2. Step 2: Convert to fraction form
    51,877.60/77,643.60 = 45,656.80/x
  3. Step 3: Cross multiply
    51,877.60x = 77,643.60 × 45,656.80
  4. Step 4: Simplify right side
    51,877.60x = 3,544,958,316.48
  5. Step 5: Solve for x
    x = 3,544,958,316.48/51,877.60
  6. Step 6: Final answer
    x = 68,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.