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Finding the Fourth Proportional to 102,435, 153,678.42 and 28,563

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Solution

The fourth proportional to 102,435, 153,678.42 and 28,563 is: 42,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435 : 153,678.42 = 28,563 : x
  2. Step 2: Convert to fraction form
    102,435/153,678.42 = 28,563/x
  3. Step 3: Cross multiply
    102,435x = 153,678.42 × 28,563
  4. Step 4: Simplify right side
    102,435x = 4,389,516,710.46
  5. Step 5: Solve for x
    x = 4,389,516,710.46/102,435
  6. Step 6: Final answer
    x = 42,851.73

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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.