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Finding the Fourth Proportional to 30,868.32, 46,304.64 and 15,281.76

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Solution

The fourth proportional to 30,868.32, 46,304.64 and 15,281.76 is: 22,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.32 : 46,304.64 = 15,281.76 : x
  2. Step 2: Convert to fraction form
    30,868.32/46,304.64 = 15,281.76/x
  3. Step 3: Cross multiply
    30,868.32x = 46,304.64 × 15,281.76
  4. Step 4: Simplify right side
    30,868.32x = 707,616,395.37
  5. Step 5: Solve for x
    x = 707,616,395.37/30,868.32
  6. Step 6: Final answer
    x = 22,923.71

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1.5x scale

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.