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Finding the Fourth Proportional to 29,870.16, 44,811.72 and 9,093.12

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Solution

The fourth proportional to 29,870.16, 44,811.72 and 9,093.12 is: 13,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.16 : 44,811.72 = 9,093.12 : x
  2. Step 2: Convert to fraction form
    29,870.16/44,811.72 = 9,093.12/x
  3. Step 3: Cross multiply
    29,870.16x = 44,811.72 × 9,093.12
  4. Step 4: Simplify right side
    29,870.16x = 407,478,347.37
  5. Step 5: Solve for x
    x = 407,478,347.37/29,870.16
  6. Step 6: Final answer
    x = 13,641.65

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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.