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Finding the Fourth Proportional to 30,482.53, 45,726.36 and 11,761.81

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Solution

The fourth proportional to 30,482.53, 45,726.36 and 11,761.81 is: 17,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.53 : 45,726.36 = 11,761.81 : x
  2. Step 2: Convert to fraction form
    30,482.53/45,726.36 = 11,761.81/x
  3. Step 3: Cross multiply
    30,482.53x = 45,726.36 × 11,761.81
  4. Step 4: Simplify right side
    30,482.53x = 537,824,758.31
  5. Step 5: Solve for x
    x = 537,824,758.31/30,482.53
  6. Step 6: Final answer
    x = 17,643.70

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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.