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Finding the Fourth Proportional to 102,294.36, 153,477.72 and 35,752.86

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Solution

The fourth proportional to 102,294.36, 153,477.72 and 35,752.86 is: 53,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294.36 : 153,477.72 = 35,752.86 : x
  2. Step 2: Convert to fraction form
    102,294.36/153,477.72 = 35,752.86/x
  3. Step 3: Cross multiply
    102,294.36x = 153,477.72 × 35,752.86
  4. Step 4: Simplify right side
    102,294.36x = 5,487,267,436.28
  5. Step 5: Solve for x
    x = 5,487,267,436.28/102,294.36
  6. Step 6: Final answer
    x = 53,641.94

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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.