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Finding the Fourth Proportional to 102,590.40, 153,866.16 and 36,014.88

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Solution

The fourth proportional to 102,590.40, 153,866.16 and 36,014.88 is: 54,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.40 : 153,866.16 = 36,014.88 : x
  2. Step 2: Convert to fraction form
    102,590.40/153,866.16 = 36,014.88/x
  3. Step 3: Cross multiply
    102,590.40x = 153,866.16 × 36,014.88
  4. Step 4: Simplify right side
    102,590.40x = 5,541,471,288.46
  5. Step 5: Solve for x
    x = 5,541,471,288.46/102,590.40
  6. Step 6: Final answer
    x = 54,015.50

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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.