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Finding the Fourth Proportional to 55,495, 83,242.58 and 22,663

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Solution

The fourth proportional to 55,495, 83,242.58 and 22,663 is: 33,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,495 : 83,242.58 = 22,663 : x
  2. Step 2: Convert to fraction form
    55,495/83,242.58 = 22,663/x
  3. Step 3: Cross multiply
    55,495x = 83,242.58 × 22,663
  4. Step 4: Simplify right side
    55,495x = 1,886,526,590.54
  5. Step 5: Solve for x
    x = 1,886,526,590.54/55,495
  6. Step 6: Final answer
    x = 33,994.53

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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.