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Finding the Fourth Proportional to 38,700.51, 53,416.22 and 23,601.50

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Solution

The fourth proportional to 38,700.51, 53,416.22 and 23,601.50 is: 32,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700.51 : 53,416.22 = 23,601.50 : x
  2. Step 2: Convert to fraction form
    38,700.51/53,416.22 = 23,601.50/x
  3. Step 3: Cross multiply
    38,700.51x = 53,416.22 × 23,601.50
  4. Step 4: Simplify right side
    38,700.51x = 1,260,702,916.33
  5. Step 5: Solve for x
    x = 1,260,702,916.33/38,700.51
  6. Step 6: Final answer
    x = 32,575.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.