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Finding the Fourth Proportional to 102,045.87, 153,138.47 and 35,485.34

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Solution

The fourth proportional to 102,045.87, 153,138.47 and 35,485.34 is: 53,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.87 : 153,138.47 = 35,485.34 : x
  2. Step 2: Convert to fraction form
    102,045.87/153,138.47 = 35,485.34/x
  3. Step 3: Cross multiply
    102,045.87x = 153,138.47 × 35,485.34
  4. Step 4: Simplify right side
    102,045.87x = 5,434,169,731.91
  5. Step 5: Solve for x
    x = 5,434,169,731.91/102,045.87
  6. Step 6: Final answer
    x = 53,252.23

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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.