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Finding the Fourth Proportional to 107,851.80, 161,720.10 and 37,733.40

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Solution

The fourth proportional to 107,851.80, 161,720.10 and 37,733.40 is: 56,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,851.80 : 161,720.10 = 37,733.40 : x
  2. Step 2: Convert to fraction form
    107,851.80/161,720.10 = 37,733.40/x
  3. Step 3: Cross multiply
    107,851.80x = 161,720.10 × 37,733.40
  4. Step 4: Simplify right side
    107,851.80x = 6,102,249,221.34
  5. Step 5: Solve for x
    x = 6,102,249,221.34/107,851.80
  6. Step 6: Final answer
    x = 56,579.95

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Why These Related Problems?

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