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Finding the Fourth Proportional to 38,657.96, 53,345.18 and 21,659.81

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Solution

The fourth proportional to 38,657.96, 53,345.18 and 21,659.81 is: 29,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.96 : 53,345.18 = 21,659.81 : x
  2. Step 2: Convert to fraction form
    38,657.96/53,345.18 = 21,659.81/x
  3. Step 3: Cross multiply
    38,657.96x = 53,345.18 × 21,659.81
  4. Step 4: Simplify right side
    38,657.96x = 1,155,446,250.64
  5. Step 5: Solve for x
    x = 1,155,446,250.64/38,657.96
  6. Step 6: Final answer
    x = 29,888.96

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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.