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Finding the Fourth Proportional to 30,254, 41,750.54 and 17,006

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Solution

The fourth proportional to 30,254, 41,750.54 and 17,006 is: 23,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254 : 41,750.54 = 17,006 : x
  2. Step 2: Convert to fraction form
    30,254/41,750.54 = 17,006/x
  3. Step 3: Cross multiply
    30,254x = 41,750.54 × 17,006
  4. Step 4: Simplify right side
    30,254x = 710,009,683.24
  5. Step 5: Solve for x
    x = 710,009,683.24/30,254
  6. Step 6: Final answer
    x = 23,468.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.