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Finding the Fourth Proportional to 73,101.64, 100,881.10 and 42,887.50

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Solution

The fourth proportional to 73,101.64, 100,881.10 and 42,887.50 is: 59,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,101.64 : 100,881.10 = 42,887.50 : x
  2. Step 2: Convert to fraction form
    73,101.64/100,881.10 = 42,887.50/x
  3. Step 3: Cross multiply
    73,101.64x = 100,881.10 × 42,887.50
  4. Step 4: Simplify right side
    73,101.64x = 4,326,538,176.25
  5. Step 5: Solve for x
    x = 4,326,538,176.25/73,101.64
  6. Step 6: Final answer
    x = 59,185.24

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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.