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Finding the Fourth Proportional to 38,702.13, 53,409.74 and 21,935.13

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Solution

The fourth proportional to 38,702.13, 53,409.74 and 21,935.13 is: 30,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.13 : 53,409.74 = 21,935.13 : x
  2. Step 2: Convert to fraction form
    38,702.13/53,409.74 = 21,935.13/x
  3. Step 3: Cross multiply
    38,702.13x = 53,409.74 × 21,935.13
  4. Step 4: Simplify right side
    38,702.13x = 1,171,549,590.17
  5. Step 5: Solve for x
    x = 1,171,549,590.17/38,702.13
  6. Step 6: Final answer
    x = 30,270.93

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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.