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Finding the Fourth Proportional to 54,681.76, 75,467.76 and 30,814.32

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Solution

The fourth proportional to 54,681.76, 75,467.76 and 30,814.32 is: 42,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681.76 : 75,467.76 = 30,814.32 : x
  2. Step 2: Convert to fraction form
    54,681.76/75,467.76 = 30,814.32/x
  3. Step 3: Cross multiply
    54,681.76x = 75,467.76 × 30,814.32
  4. Step 4: Simplify right side
    54,681.76x = 2,325,487,706.32
  5. Step 5: Solve for x
    x = 2,325,487,706.32/54,681.76
  6. Step 6: Final answer
    x = 42,527.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.