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Finding the Fourth Proportional to 102,595.63, 153,885.76 and 36,036.35

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Solution

The fourth proportional to 102,595.63, 153,885.76 and 36,036.35 is: 54,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.63 : 153,885.76 = 36,036.35 : x
  2. Step 2: Convert to fraction form
    102,595.63/153,885.76 = 36,036.35/x
  3. Step 3: Cross multiply
    102,595.63x = 153,885.76 × 36,036.35
  4. Step 4: Simplify right side
    102,595.63x = 5,545,481,107.38
  5. Step 5: Solve for x
    x = 5,545,481,107.38/102,595.63
  6. Step 6: Final answer
    x = 54,051.83

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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.