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Finding the Fourth Proportional to 29,038.52, 43,539.06 and 12,409.40

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Solution

The fourth proportional to 29,038.52, 43,539.06 and 12,409.40 is: 18,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.52 : 43,539.06 = 12,409.40 : x
  2. Step 2: Convert to fraction form
    29,038.52/43,539.06 = 12,409.40/x
  3. Step 3: Cross multiply
    29,038.52x = 43,539.06 × 12,409.40
  4. Step 4: Simplify right side
    29,038.52x = 540,293,611.16
  5. Step 5: Solve for x
    x = 540,293,611.16/29,038.52
  6. Step 6: Final answer
    x = 18,606.10

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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.