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Finding the Fourth Proportional to 38,844, 58,275.72 and 16,646.40

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Solution

The fourth proportional to 38,844, 58,275.72 and 16,646.40 is: 24,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844 : 58,275.72 = 16,646.40 : x
  2. Step 2: Convert to fraction form
    38,844/58,275.72 = 16,646.40/x
  3. Step 3: Cross multiply
    38,844x = 58,275.72 × 16,646.40
  4. Step 4: Simplify right side
    38,844x = 970,080,945.41
  5. Step 5: Solve for x
    x = 970,080,945.41/38,844
  6. Step 6: Final answer
    x = 24,973.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.