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Finding the Fourth Proportional to 102,898.47, 154,332.10 and 28,024.52

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Solution

The fourth proportional to 102,898.47, 154,332.10 and 28,024.52 is: 42,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.47 : 154,332.10 = 28,024.52 : x
  2. Step 2: Convert to fraction form
    102,898.47/154,332.10 = 28,024.52/x
  3. Step 3: Cross multiply
    102,898.47x = 154,332.10 × 28,024.52
  4. Step 4: Simplify right side
    102,898.47x = 4,325,082,181.37
  5. Step 5: Solve for x
    x = 4,325,082,181.37/102,898.47
  6. Step 6: Final answer
    x = 42,032.52

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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.