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Finding the Fourth Proportional to 29,870.32, 44,814.12 and 9,093.28

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Solution

The fourth proportional to 29,870.32, 44,814.12 and 9,093.28 is: 13,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.32 : 44,814.12 = 9,093.28 : x
  2. Step 2: Convert to fraction form
    29,870.32/44,814.12 = 9,093.28/x
  3. Step 3: Cross multiply
    29,870.32x = 44,814.12 × 9,093.28
  4. Step 4: Simplify right side
    29,870.32x = 407,507,341.11
  5. Step 5: Solve for x
    x = 407,507,341.11/29,870.32
  6. Step 6: Final answer
    x = 13,642.55

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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.