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Finding the Fourth Proportional to 37,707.90, 56,561.64 and 9,244.50

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Solution

The fourth proportional to 37,707.90, 56,561.64 and 9,244.50 is: 13,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707.90 : 56,561.64 = 9,244.50 : x
  2. Step 2: Convert to fraction form
    37,707.90/56,561.64 = 9,244.50/x
  3. Step 3: Cross multiply
    37,707.90x = 56,561.64 × 9,244.50
  4. Step 4: Simplify right side
    37,707.90x = 522,883,886.21
  5. Step 5: Solve for x
    x = 522,883,886.21/37,707.90
  6. Step 6: Final answer
    x = 13,866.69

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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.