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Finding the Fourth Proportional to 102,048.80, 153,051.33 and 31,919

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Solution

The fourth proportional to 102,048.80, 153,051.33 and 31,919 is: 47,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048.80 : 153,051.33 = 31,919 : x
  2. Step 2: Convert to fraction form
    102,048.80/153,051.33 = 31,919/x
  3. Step 3: Cross multiply
    102,048.80x = 153,051.33 × 31,919
  4. Step 4: Simplify right side
    102,048.80x = 4,885,245,402.27
  5. Step 5: Solve for x
    x = 4,885,245,402.27/102,048.80
  6. Step 6: Final answer
    x = 47,871.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.