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Finding the Fourth Proportional to 102,024.69, 153,045.85 and 28,152.69

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Solution

The fourth proportional to 102,024.69, 153,045.85 and 28,152.69 is: 42,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.69 : 153,045.85 = 28,152.69 : x
  2. Step 2: Convert to fraction form
    102,024.69/153,045.85 = 28,152.69/x
  3. Step 3: Cross multiply
    102,024.69x = 153,045.85 × 28,152.69
  4. Step 4: Simplify right side
    102,024.69x = 4,308,652,370.84
  5. Step 5: Solve for x
    x = 4,308,652,370.84/102,024.69
  6. Step 6: Final answer
    x = 42,231.47

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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.