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Finding the Fourth Proportional to 105,733.49, 158,547.75 and 33,677.00

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Solution

The fourth proportional to 105,733.49, 158,547.75 and 33,677.00 is: 50,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,733.49 : 158,547.75 = 33,677.00 : x
  2. Step 2: Convert to fraction form
    105,733.49/158,547.75 = 33,677.00/x
  3. Step 3: Cross multiply
    105,733.49x = 158,547.75 × 33,677.00
  4. Step 4: Simplify right side
    105,733.49x = 5,339,411,784.01
  5. Step 5: Solve for x
    x = 5,339,411,784.01/105,733.49
  6. Step 6: Final answer
    x = 50,498.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.