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Finding the Fourth Proportional to 102,531.68, 153,703.56 and 35,935.51

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Solution

The fourth proportional to 102,531.68, 153,703.56 and 35,935.51 is: 53,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.68 : 153,703.56 = 35,935.51 : x
  2. Step 2: Convert to fraction form
    102,531.68/153,703.56 = 35,935.51/x
  3. Step 3: Cross multiply
    102,531.68x = 153,703.56 × 35,935.51
  4. Step 4: Simplify right side
    102,531.68x = 5,523,415,817.42
  5. Step 5: Solve for x
    x = 5,523,415,817.42/102,531.68
  6. Step 6: Final answer
    x = 53,870.33

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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.