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Finding the Fourth Proportional to 46,464.55, 69,699.48 and 13,182

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Solution

The fourth proportional to 46,464.55, 69,699.48 and 13,182 is: 19,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464.55 : 69,699.48 = 13,182 : x
  2. Step 2: Convert to fraction form
    46,464.55/69,699.48 = 13,182/x
  3. Step 3: Cross multiply
    46,464.55x = 69,699.48 × 13,182
  4. Step 4: Simplify right side
    46,464.55x = 918,778,545.36
  5. Step 5: Solve for x
    x = 918,778,545.36/46,464.55
  6. Step 6: Final answer
    x = 19,773.75

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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.