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Finding the Fourth Proportional to 46,580, 64,284.24 and 26,711.84

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Solution

The fourth proportional to 46,580, 64,284.24 and 26,711.84 is: 36,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580 : 64,284.24 = 26,711.84 : x
  2. Step 2: Convert to fraction form
    46,580/64,284.24 = 26,711.84/x
  3. Step 3: Cross multiply
    46,580x = 64,284.24 × 26,711.84
  4. Step 4: Simplify right side
    46,580x = 1,717,150,333.40
  5. Step 5: Solve for x
    x = 1,717,150,333.40/46,580
  6. Step 6: Final answer
    x = 36,864.54

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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.