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Finding the Fourth Proportional to 60,838.10, 83,955.68 and 33,981

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Solution

The fourth proportional to 60,838.10, 83,955.68 and 33,981 is: 46,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,838.10 : 83,955.68 = 33,981 : x
  2. Step 2: Convert to fraction form
    60,838.10/83,955.68 = 33,981/x
  3. Step 3: Cross multiply
    60,838.10x = 83,955.68 × 33,981
  4. Step 4: Simplify right side
    60,838.10x = 2,852,897,962.08
  5. Step 5: Solve for x
    x = 2,852,897,962.08/60,838.10
  6. Step 6: Final answer
    x = 46,893.28

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