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Finding the Fourth Proportional to 30,055.98, 41,478 and 16,627.50

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Solution

The fourth proportional to 30,055.98, 41,478 and 16,627.50 is: 22,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.98 : 41,478 = 16,627.50 : x
  2. Step 2: Convert to fraction form
    30,055.98/41,478 = 16,627.50/x
  3. Step 3: Cross multiply
    30,055.98x = 41,478 × 16,627.50
  4. Step 4: Simplify right side
    30,055.98x = 689,675,445
  5. Step 5: Solve for x
    x = 689,675,445/30,055.98
  6. Step 6: Final answer
    x = 22,946.36

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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.