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Finding the Fourth Proportional to 46,248.70, 69,369.48 and 12,967

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Solution

The fourth proportional to 46,248.70, 69,369.48 and 12,967 is: 19,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,248.70 : 69,369.48 = 12,967 : x
  2. Step 2: Convert to fraction form
    46,248.70/69,369.48 = 12,967/x
  3. Step 3: Cross multiply
    46,248.70x = 69,369.48 × 12,967
  4. Step 4: Simplify right side
    46,248.70x = 899,514,047.16
  5. Step 5: Solve for x
    x = 899,514,047.16/46,248.70
  6. Step 6: Final answer
    x = 19,449.50

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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.