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Finding the Fourth Proportional to 102,389.59, 153,653.59 and 35,830.30

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Solution

The fourth proportional to 102,389.59, 153,653.59 and 35,830.30 is: 53,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,389.59 : 153,653.59 = 35,830.30 : x
  2. Step 2: Convert to fraction form
    102,389.59/153,653.59 = 35,830.30/x
  3. Step 3: Cross multiply
    102,389.59x = 153,653.59 × 35,830.30
  4. Step 4: Simplify right side
    102,389.59x = 5,505,454,023.37
  5. Step 5: Solve for x
    x = 5,505,454,023.37/102,389.59
  6. Step 6: Final answer
    x = 53,769.66

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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.