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Finding the Fourth Proportional to 46,460.64, 69,694.08 and 15,296.16

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Solution

The fourth proportional to 46,460.64, 69,694.08 and 15,296.16 is: 22,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.64 : 69,694.08 = 15,296.16 : x
  2. Step 2: Convert to fraction form
    46,460.64/69,694.08 = 15,296.16/x
  3. Step 3: Cross multiply
    46,460.64x = 69,694.08 × 15,296.16
  4. Step 4: Simplify right side
    46,460.64x = 1,066,051,798.73
  5. Step 5: Solve for x
    x = 1,066,051,798.73/46,460.64
  6. Step 6: Final answer
    x = 22,945.27

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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.