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Finding the Fourth Proportional to 46,656.64, 69,907.04 and 32,780.80

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Solution

The fourth proportional to 46,656.64, 69,907.04 and 32,780.80 is: 49,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.64 : 69,907.04 = 32,780.80 : x
  2. Step 2: Convert to fraction form
    46,656.64/69,907.04 = 32,780.80/x
  3. Step 3: Cross multiply
    46,656.64x = 69,907.04 × 32,780.80
  4. Step 4: Simplify right side
    46,656.64x = 2,291,608,696.83
  5. Step 5: Solve for x
    x = 2,291,608,696.83/46,656.64
  6. Step 6: Final answer
    x = 49,116.45

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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.