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Finding the Fourth Proportional to 109,852.59, 164,826.39 and 46,686.57

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Solution

The fourth proportional to 109,852.59, 164,826.39 and 46,686.57 is: 70,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.59 : 164,826.39 = 46,686.57 : x
  2. Step 2: Convert to fraction form
    109,852.59/164,826.39 = 46,686.57/x
  3. Step 3: Cross multiply
    109,852.59x = 164,826.39 × 46,686.57
  4. Step 4: Simplify right side
    109,852.59x = 7,695,178,794.58
  5. Step 5: Solve for x
    x = 7,695,178,794.58/109,852.59
  6. Step 6: Final answer
    x = 70,050.04

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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.