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Finding the Fourth Proportional to 126,403.50, 189,636.45 and 37,656.66

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Solution

The fourth proportional to 126,403.50, 189,636.45 and 37,656.66 is: 56,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,403.50 : 189,636.45 = 37,656.66 : x
  2. Step 2: Convert to fraction form
    126,403.50/189,636.45 = 37,656.66/x
  3. Step 3: Cross multiply
    126,403.50x = 189,636.45 × 37,656.66
  4. Step 4: Simplify right side
    126,403.50x = 7,141,075,321.26
  5. Step 5: Solve for x
    x = 7,141,075,321.26/126,403.50
  6. Step 6: Final answer
    x = 56,494.28

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