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Finding the Fourth Proportional to 76,543.36, 114,708.12 and 37,090

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Solution

The fourth proportional to 76,543.36, 114,708.12 and 37,090 is: 55,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,543.36 : 114,708.12 = 37,090 : x
  2. Step 2: Convert to fraction form
    76,543.36/114,708.12 = 37,090/x
  3. Step 3: Cross multiply
    76,543.36x = 114,708.12 × 37,090
  4. Step 4: Simplify right side
    76,543.36x = 4,254,524,170.80
  5. Step 5: Solve for x
    x = 4,254,524,170.80/76,543.36
  6. Step 6: Final answer
    x = 55,583.19

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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.