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Finding the Fourth Proportional to 53,781.08, 74,210.88 and 29,903

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Solution

The fourth proportional to 53,781.08, 74,210.88 and 29,903 is: 41,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.08 : 74,210.88 = 29,903 : x
  2. Step 2: Convert to fraction form
    53,781.08/74,210.88 = 29,903/x
  3. Step 3: Cross multiply
    53,781.08x = 74,210.88 × 29,903
  4. Step 4: Simplify right side
    53,781.08x = 2,219,127,944.64
  5. Step 5: Solve for x
    x = 2,219,127,944.64/53,781.08
  6. Step 6: Final answer
    x = 41,262.24

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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.