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Finding the Fourth Proportional to 30,886.02, 42,802.07 and 30,295.26

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Solution

The fourth proportional to 30,886.02, 42,802.07 and 30,295.26 is: 41,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.02 : 42,802.07 = 30,295.26 : x
  2. Step 2: Convert to fraction form
    30,886.02/42,802.07 = 30,295.26/x
  3. Step 3: Cross multiply
    30,886.02x = 42,802.07 × 30,295.26
  4. Step 4: Simplify right side
    30,886.02x = 1,296,699,687.71
  5. Step 5: Solve for x
    x = 1,296,699,687.71/30,886.02
  6. Step 6: Final answer
    x = 41,983.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.