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Finding the Fourth Proportional to 30,830.50, 46,253.04 and 10,054

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Solution

The fourth proportional to 30,830.50, 46,253.04 and 10,054 is: 15,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.50 : 46,253.04 = 10,054 : x
  2. Step 2: Convert to fraction form
    30,830.50/46,253.04 = 10,054/x
  3. Step 3: Cross multiply
    30,830.50x = 46,253.04 × 10,054
  4. Step 4: Simplify right side
    30,830.50x = 465,028,064.16
  5. Step 5: Solve for x
    x = 465,028,064.16/30,830.50
  6. Step 6: Final answer
    x = 15,083.38

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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.