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Finding the Fourth Proportional to 102,385.32, 153,567.04 and 35,826.71

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Solution

The fourth proportional to 102,385.32, 153,567.04 and 35,826.71 is: 53,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,385.32 : 153,567.04 = 35,826.71 : x
  2. Step 2: Convert to fraction form
    102,385.32/153,567.04 = 35,826.71/x
  3. Step 3: Cross multiply
    102,385.32x = 153,567.04 × 35,826.71
  4. Step 4: Simplify right side
    102,385.32x = 5,501,801,017.41
  5. Step 5: Solve for x
    x = 5,501,801,017.41/102,385.32
  6. Step 6: Final answer
    x = 53,736.23

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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.