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Finding the Fourth Proportional to 102,937.53, 154,384.70 and 29,048.25

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Solution

The fourth proportional to 102,937.53, 154,384.70 and 29,048.25 is: 43,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937.53 : 154,384.70 = 29,048.25 : x
  2. Step 2: Convert to fraction form
    102,937.53/154,384.70 = 29,048.25/x
  3. Step 3: Cross multiply
    102,937.53x = 154,384.70 × 29,048.25
  4. Step 4: Simplify right side
    102,937.53x = 4,484,605,216.53
  5. Step 5: Solve for x
    x = 4,484,605,216.53/102,937.53
  6. Step 6: Final answer
    x = 43,566.28

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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.