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Finding the Fourth Proportional to 30,596.54, 45,820.70 and 15,564.11

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Solution

The fourth proportional to 30,596.54, 45,820.70 and 15,564.11 is: 23,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.54 : 45,820.70 = 15,564.11 : x
  2. Step 2: Convert to fraction form
    30,596.54/45,820.70 = 15,564.11/x
  3. Step 3: Cross multiply
    30,596.54x = 45,820.70 × 15,564.11
  4. Step 4: Simplify right side
    30,596.54x = 713,158,415.08
  5. Step 5: Solve for x
    x = 713,158,415.08/30,596.54
  6. Step 6: Final answer
    x = 23,308.47

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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.