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Finding the Fourth Proportional to 46,246, 69,370.68 and 12,969.16

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Solution

The fourth proportional to 46,246, 69,370.68 and 12,969.16 is: 19,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,246 : 69,370.68 = 12,969.16 : x
  2. Step 2: Convert to fraction form
    46,246/69,370.68 = 12,969.16/x
  3. Step 3: Cross multiply
    46,246x = 69,370.68 × 12,969.16
  4. Step 4: Simplify right side
    46,246x = 899,679,448.23
  5. Step 5: Solve for x
    x = 899,679,448.23/46,246
  6. Step 6: Final answer
    x = 19,454.21

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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.