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Finding the Fourth Proportional to 38,509.54, 53,146.74 and 23,398.72

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Solution

The fourth proportional to 38,509.54, 53,146.74 and 23,398.72 is: 32,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.54 : 53,146.74 = 23,398.72 : x
  2. Step 2: Convert to fraction form
    38,509.54/53,146.74 = 23,398.72/x
  3. Step 3: Cross multiply
    38,509.54x = 53,146.74 × 23,398.72
  4. Step 4: Simplify right side
    38,509.54x = 1,243,565,688.17
  5. Step 5: Solve for x
    x = 1,243,565,688.17/38,509.54
  6. Step 6: Final answer
    x = 32,292.41

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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.