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Finding the Fourth Proportional to 46,359.72, 69,538.86 and 18,657

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Solution

The fourth proportional to 46,359.72, 69,538.86 and 18,657 is: 27,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359.72 : 69,538.86 = 18,657 : x
  2. Step 2: Convert to fraction form
    46,359.72/69,538.86 = 18,657/x
  3. Step 3: Cross multiply
    46,359.72x = 69,538.86 × 18,657
  4. Step 4: Simplify right side
    46,359.72x = 1,297,386,511.02
  5. Step 5: Solve for x
    x = 1,297,386,511.02/46,359.72
  6. Step 6: Final answer
    x = 27,985.21

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Why These Related Problems?

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