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Finding the Fourth Proportional to 60,241.06, 83,133.13 and 33,384

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Solution

The fourth proportional to 60,241.06, 83,133.13 and 33,384 is: 46,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,241.06 : 83,133.13 = 33,384 : x
  2. Step 2: Convert to fraction form
    60,241.06/83,133.13 = 33,384/x
  3. Step 3: Cross multiply
    60,241.06x = 83,133.13 × 33,384
  4. Step 4: Simplify right side
    60,241.06x = 2,775,316,328.46
  5. Step 5: Solve for x
    x = 2,775,316,328.46/60,241.06
  6. Step 6: Final answer
    x = 46,070.18

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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.