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Finding the Fourth Proportional to 30,730, 46,101.06 and 11,003.26

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Solution

The fourth proportional to 30,730, 46,101.06 and 11,003.26 is: 16,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730 : 46,101.06 = 11,003.26 : x
  2. Step 2: Convert to fraction form
    30,730/46,101.06 = 11,003.26/x
  3. Step 3: Cross multiply
    30,730x = 46,101.06 × 11,003.26
  4. Step 4: Simplify right side
    30,730x = 507,261,949.46
  5. Step 5: Solve for x
    x = 507,261,949.46/30,730
  6. Step 6: Final answer
    x = 16,507.06

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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.