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Finding the Fourth Proportional to 31,260.64, 46,828.14 and 14,597.68

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Solution

The fourth proportional to 31,260.64, 46,828.14 and 14,597.68 is: 21,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,260.64 : 46,828.14 = 14,597.68 : x
  2. Step 2: Convert to fraction form
    31,260.64/46,828.14 = 14,597.68/x
  3. Step 3: Cross multiply
    31,260.64x = 46,828.14 × 14,597.68
  4. Step 4: Simplify right side
    31,260.64x = 683,582,202.72
  5. Step 5: Solve for x
    x = 683,582,202.72/31,260.64
  6. Step 6: Final answer
    x = 21,867.19

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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.