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Finding the Fourth Proportional to 77,196.60, 106,530.12 and 43,204.50

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Solution

The fourth proportional to 77,196.60, 106,530.12 and 43,204.50 is: 59,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.60 : 106,530.12 = 43,204.50 : x
  2. Step 2: Convert to fraction form
    77,196.60/106,530.12 = 43,204.50/x
  3. Step 3: Cross multiply
    77,196.60x = 106,530.12 × 43,204.50
  4. Step 4: Simplify right side
    77,196.60x = 4,602,580,569.54
  5. Step 5: Solve for x
    x = 4,602,580,569.54/77,196.60
  6. Step 6: Final answer
    x = 59,621.55

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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.