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Finding the Fourth Proportional to 29,607, 44,432.34 and 14,024.64

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Solution

The fourth proportional to 29,607, 44,432.34 and 14,024.64 is: 21,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607 : 44,432.34 = 14,024.64 : x
  2. Step 2: Convert to fraction form
    29,607/44,432.34 = 14,024.64/x
  3. Step 3: Cross multiply
    29,607x = 44,432.34 × 14,024.64
  4. Step 4: Simplify right side
    29,607x = 623,147,572.86
  5. Step 5: Solve for x
    x = 623,147,572.86/29,607
  6. Step 6: Final answer
    x = 21,047.31

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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.