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Finding the Fourth Proportional to 46,533, 64,217.54 and 26,389.78

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Solution

The fourth proportional to 46,533, 64,217.54 and 26,389.78 is: 36,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,533 : 64,217.54 = 26,389.78 : x
  2. Step 2: Convert to fraction form
    46,533/64,217.54 = 26,389.78/x
  3. Step 3: Cross multiply
    46,533x = 64,217.54 × 26,389.78
  4. Step 4: Simplify right side
    46,533x = 1,694,686,752.74
  5. Step 5: Solve for x
    x = 1,694,686,752.74/46,533
  6. Step 6: Final answer
    x = 36,419.03

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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.