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Finding the Fourth Proportional to 51,022.34, 70,412.14 and 28,051.88

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Solution

The fourth proportional to 51,022.34, 70,412.14 and 28,051.88 is: 38,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022.34 : 70,412.14 = 28,051.88 : x
  2. Step 2: Convert to fraction form
    51,022.34/70,412.14 = 28,051.88/x
  3. Step 3: Cross multiply
    51,022.34x = 70,412.14 × 28,051.88
  4. Step 4: Simplify right side
    51,022.34x = 1,975,192,901.82
  5. Step 5: Solve for x
    x = 1,975,192,901.82/51,022.34
  6. Step 6: Final answer
    x = 38,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.