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Finding the Fourth Proportional to 30,602.72, 45,904.50 and 11,883.84

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Solution

The fourth proportional to 30,602.72, 45,904.50 and 11,883.84 is: 17,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.72 : 45,904.50 = 11,883.84 : x
  2. Step 2: Convert to fraction form
    30,602.72/45,904.50 = 11,883.84/x
  3. Step 3: Cross multiply
    30,602.72x = 45,904.50 × 11,883.84
  4. Step 4: Simplify right side
    30,602.72x = 545,521,733.28
  5. Step 5: Solve for x
    x = 545,521,733.28/30,602.72
  6. Step 6: Final answer
    x = 17,825.92

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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.