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Finding the Fourth Proportional to 52,464.07, 72,398.31 and 28,590.24

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Solution

The fourth proportional to 52,464.07, 72,398.31 and 28,590.24 is: 39,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,464.07 : 72,398.31 = 28,590.24 : x
  2. Step 2: Convert to fraction form
    52,464.07/72,398.31 = 28,590.24/x
  3. Step 3: Cross multiply
    52,464.07x = 72,398.31 × 28,590.24
  4. Step 4: Simplify right side
    52,464.07x = 2,069,885,058.49
  5. Step 5: Solve for x
    x = 2,069,885,058.49/52,464.07
  6. Step 6: Final answer
    x = 39,453.38

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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.