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Finding the Fourth Proportional to 109,004, 163,417.74 and 34,085.56

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Solution

The fourth proportional to 109,004, 163,417.74 and 34,085.56 is: 51,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,004 : 163,417.74 = 34,085.56 : x
  2. Step 2: Convert to fraction form
    109,004/163,417.74 = 34,085.56/x
  3. Step 3: Cross multiply
    109,004x = 163,417.74 × 34,085.56
  4. Step 4: Simplify right side
    109,004x = 5,570,185,181.83
  5. Step 5: Solve for x
    x = 5,570,185,181.83/109,004
  6. Step 6: Final answer
    x = 51,100.74

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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.