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Finding the Fourth Proportional to 46,681.84, 64,328.82 and 33,215.38

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Solution

The fourth proportional to 46,681.84, 64,328.82 and 33,215.38 is: 45,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681.84 : 64,328.82 = 33,215.38 : x
  2. Step 2: Convert to fraction form
    46,681.84/64,328.82 = 33,215.38/x
  3. Step 3: Cross multiply
    46,681.84x = 64,328.82 × 33,215.38
  4. Step 4: Simplify right side
    46,681.84x = 2,136,706,201.25
  5. Step 5: Solve for x
    x = 2,136,706,201.25/46,681.84
  6. Step 6: Final answer
    x = 45,771.68

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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.