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Finding the Fourth Proportional to 30,832.98, 46,252.59 and 8,646.42

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Solution

The fourth proportional to 30,832.98, 46,252.59 and 8,646.42 is: 12,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.98 : 46,252.59 = 8,646.42 : x
  2. Step 2: Convert to fraction form
    30,832.98/46,252.59 = 8,646.42/x
  3. Step 3: Cross multiply
    30,832.98x = 46,252.59 × 8,646.42
  4. Step 4: Simplify right side
    30,832.98x = 399,919,319.23
  5. Step 5: Solve for x
    x = 399,919,319.23/30,832.98
  6. Step 6: Final answer
    x = 12,970.50

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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.