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Finding the Fourth Proportional to 45,662.64, 68,485.32 and 14,498.16

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Solution

The fourth proportional to 45,662.64, 68,485.32 and 14,498.16 is: 21,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,662.64 : 68,485.32 = 14,498.16 : x
  2. Step 2: Convert to fraction form
    45,662.64/68,485.32 = 14,498.16/x
  3. Step 3: Cross multiply
    45,662.64x = 68,485.32 × 14,498.16
  4. Step 4: Simplify right side
    45,662.64x = 992,911,127.01
  5. Step 5: Solve for x
    x = 992,911,127.01/45,662.64
  6. Step 6: Final answer
    x = 21,744.50

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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.