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Finding the Fourth Proportional to 78,482.51, 117,729.13 and 22,327.03

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Solution

The fourth proportional to 78,482.51, 117,729.13 and 22,327.03 is: 33,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.51 : 117,729.13 = 22,327.03 : x
  2. Step 2: Convert to fraction form
    78,482.51/117,729.13 = 22,327.03/x
  3. Step 3: Cross multiply
    78,482.51x = 117,729.13 × 22,327.03
  4. Step 4: Simplify right side
    78,482.51x = 2,628,541,817.38
  5. Step 5: Solve for x
    x = 2,628,541,817.38/78,482.51
  6. Step 6: Final answer
    x = 33,492.07

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Why These Related Problems?

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