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Finding the Fourth Proportional to 30,160.50, 45,291.78 and 19,648.32

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Solution

The fourth proportional to 30,160.50, 45,291.78 and 19,648.32 is: 29,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160.50 : 45,291.78 = 19,648.32 : x
  2. Step 2: Convert to fraction form
    30,160.50/45,291.78 = 19,648.32/x
  3. Step 3: Cross multiply
    30,160.50x = 45,291.78 × 19,648.32
  4. Step 4: Simplify right side
    30,160.50x = 889,907,386.81
  5. Step 5: Solve for x
    x = 889,907,386.81/30,160.50
  6. Step 6: Final answer
    x = 29,505.72

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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.