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Finding the Fourth Proportional to 60,294, 83,205.72 and 33,798

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Solution

The fourth proportional to 60,294, 83,205.72 and 33,798 is: 46,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294 : 83,205.72 = 33,798 : x
  2. Step 2: Convert to fraction form
    60,294/83,205.72 = 33,798/x
  3. Step 3: Cross multiply
    60,294x = 83,205.72 × 33,798
  4. Step 4: Simplify right side
    60,294x = 2,812,186,924.56
  5. Step 5: Solve for x
    x = 2,812,186,924.56/60,294
  6. Step 6: Final answer
    x = 46,641.24

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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.