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Finding the Fourth Proportional to 46,798.56, 64,561.46 and 27,924.75

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Solution

The fourth proportional to 46,798.56, 64,561.46 and 27,924.75 is: 38,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,798.56 : 64,561.46 = 27,924.75 : x
  2. Step 2: Convert to fraction form
    46,798.56/64,561.46 = 27,924.75/x
  3. Step 3: Cross multiply
    46,798.56x = 64,561.46 × 27,924.75
  4. Step 4: Simplify right side
    46,798.56x = 1,802,862,490.51
  5. Step 5: Solve for x
    x = 1,802,862,490.51/46,798.56
  6. Step 6: Final answer
    x = 38,523.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.