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Finding the Fourth Proportional to 30,964.66, 46,437.88 and 8,779.98

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Solution

The fourth proportional to 30,964.66, 46,437.88 and 8,779.98 is: 13,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.66 : 46,437.88 = 8,779.98 : x
  2. Step 2: Convert to fraction form
    30,964.66/46,437.88 = 8,779.98/x
  3. Step 3: Cross multiply
    30,964.66x = 46,437.88 × 8,779.98
  4. Step 4: Simplify right side
    30,964.66x = 407,723,657.64
  5. Step 5: Solve for x
    x = 407,723,657.64/30,964.66
  6. Step 6: Final answer
    x = 13,167.39

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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.