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Finding the Fourth Proportional to 56,018.60, 83,948.70 and 31,069.64

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Solution

The fourth proportional to 56,018.60, 83,948.70 and 31,069.64 is: 46,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,018.60 : 83,948.70 = 31,069.64 : x
  2. Step 2: Convert to fraction form
    56,018.60/83,948.70 = 31,069.64/x
  3. Step 3: Cross multiply
    56,018.60x = 83,948.70 × 31,069.64
  4. Step 4: Simplify right side
    56,018.60x = 2,608,255,887.47
  5. Step 5: Solve for x
    x = 2,608,255,887.47/56,018.60
  6. Step 6: Final answer
    x = 46,560.53

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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.