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Finding the Fourth Proportional to 30,602.34, 45,860.41 and 24,334.53

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Solution

The fourth proportional to 30,602.34, 45,860.41 and 24,334.53 is: 36,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.34 : 45,860.41 = 24,334.53 : x
  2. Step 2: Convert to fraction form
    30,602.34/45,860.41 = 24,334.53/x
  3. Step 3: Cross multiply
    30,602.34x = 45,860.41 × 24,334.53
  4. Step 4: Simplify right side
    30,602.34x = 1,115,991,381.40
  5. Step 5: Solve for x
    x = 1,115,991,381.40/30,602.34
  6. Step 6: Final answer
    x = 36,467.52

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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.