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Finding the Fourth Proportional to 58,034, 87,051.96 and 25,202

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Solution

The fourth proportional to 58,034, 87,051.96 and 25,202 is: 37,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,034 : 87,051.96 = 25,202 : x
  2. Step 2: Convert to fraction form
    58,034/87,051.96 = 25,202/x
  3. Step 3: Cross multiply
    58,034x = 87,051.96 × 25,202
  4. Step 4: Simplify right side
    58,034x = 2,193,883,495.92
  5. Step 5: Solve for x
    x = 2,193,883,495.92/58,034
  6. Step 6: Final answer
    x = 37,803.42

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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.