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Finding the Fourth Proportional to 38,420.66, 53,018.87 and 28,345.47

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Solution

The fourth proportional to 38,420.66, 53,018.87 and 28,345.47 is: 39,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.66 : 53,018.87 = 28,345.47 : x
  2. Step 2: Convert to fraction form
    38,420.66/53,018.87 = 28,345.47/x
  3. Step 3: Cross multiply
    38,420.66x = 53,018.87 × 28,345.47
  4. Step 4: Simplify right side
    38,420.66x = 1,502,844,647.29
  5. Step 5: Solve for x
    x = 1,502,844,647.29/38,420.66
  6. Step 6: Final answer
    x = 39,115.54

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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.