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Finding the Fourth Proportional to 37,386.82, 56,090.31 and 12,430.90

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Solution

The fourth proportional to 37,386.82, 56,090.31 and 12,430.90 is: 18,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386.82 : 56,090.31 = 12,430.90 : x
  2. Step 2: Convert to fraction form
    37,386.82/56,090.31 = 12,430.90/x
  3. Step 3: Cross multiply
    37,386.82x = 56,090.31 × 12,430.90
  4. Step 4: Simplify right side
    37,386.82x = 697,253,034.58
  5. Step 5: Solve for x
    x = 697,253,034.58/37,386.82
  6. Step 6: Final answer
    x = 18,649.70

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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.