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Finding the Fourth Proportional to 30,590.52, 42,238.78 and 19,840.50

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Solution

The fourth proportional to 30,590.52, 42,238.78 and 19,840.50 is: 27,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.52 : 42,238.78 = 19,840.50 : x
  2. Step 2: Convert to fraction form
    30,590.52/42,238.78 = 19,840.50/x
  3. Step 3: Cross multiply
    30,590.52x = 42,238.78 × 19,840.50
  4. Step 4: Simplify right side
    30,590.52x = 838,038,514.59
  5. Step 5: Solve for x
    x = 838,038,514.59/30,590.52
  6. Step 6: Final answer
    x = 27,395.37

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