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Finding the Fourth Proportional to 38,509.29, 53,146.40 and 23,398.47

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Solution

The fourth proportional to 38,509.29, 53,146.40 and 23,398.47 is: 32,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.29 : 53,146.40 = 23,398.47 : x
  2. Step 2: Convert to fraction form
    38,509.29/53,146.40 = 23,398.47/x
  3. Step 3: Cross multiply
    38,509.29x = 53,146.40 × 23,398.47
  4. Step 4: Simplify right side
    38,509.29x = 1,243,544,329.02
  5. Step 5: Solve for x
    x = 1,243,544,329.02/38,509.29
  6. Step 6: Final answer
    x = 32,292.06

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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.