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Finding the Fourth Proportional to 75,314.40, 112,872.72 and 42,050.16

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Solution

The fourth proportional to 75,314.40, 112,872.72 and 42,050.16 is: 63,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.40 : 112,872.72 = 42,050.16 : x
  2. Step 2: Convert to fraction form
    75,314.40/112,872.72 = 42,050.16/x
  3. Step 3: Cross multiply
    75,314.40x = 112,872.72 × 42,050.16
  4. Step 4: Simplify right side
    75,314.40x = 4,746,315,935.64
  5. Step 5: Solve for x
    x = 4,746,315,935.64/75,314.40
  6. Step 6: Final answer
    x = 63,020.03

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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.