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Finding the Fourth Proportional to 103,434.09, 155,151.14 and 33,313.40

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Solution

The fourth proportional to 103,434.09, 155,151.14 and 33,313.40 is: 49,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434.09 : 155,151.14 = 33,313.40 : x
  2. Step 2: Convert to fraction form
    103,434.09/155,151.14 = 33,313.40/x
  3. Step 3: Cross multiply
    103,434.09x = 155,151.14 × 33,313.40
  4. Step 4: Simplify right side
    103,434.09x = 5,168,611,987.28
  5. Step 5: Solve for x
    x = 5,168,611,987.28/103,434.09
  6. Step 6: Final answer
    x = 49,970.10

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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.