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Finding the Fourth Proportional to 30,376.32, 45,552 and 9,594.24

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Solution

The fourth proportional to 30,376.32, 45,552 and 9,594.24 is: 14,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.32 : 45,552 = 9,594.24 : x
  2. Step 2: Convert to fraction form
    30,376.32/45,552 = 9,594.24/x
  3. Step 3: Cross multiply
    30,376.32x = 45,552 × 9,594.24
  4. Step 4: Simplify right side
    30,376.32x = 437,036,820.48
  5. Step 5: Solve for x
    x = 437,036,820.48/30,376.32
  6. Step 6: Final answer
    x = 14,387.42

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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.