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Finding the Fourth Proportional to 37,101.63, 55,652.43 and 9,021.51

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Solution

The fourth proportional to 37,101.63, 55,652.43 and 9,021.51 is: 13,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.63 : 55,652.43 = 9,021.51 : x
  2. Step 2: Convert to fraction form
    37,101.63/55,652.43 = 9,021.51/x
  3. Step 3: Cross multiply
    37,101.63x = 55,652.43 × 9,021.51
  4. Step 4: Simplify right side
    37,101.63x = 502,068,953.77
  5. Step 5: Solve for x
    x = 502,068,953.77/37,101.63
  6. Step 6: Final answer
    x = 13,532.26

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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.