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Finding the Fourth Proportional to 29,625.60, 44,430.30 and 12,097.20

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Solution

The fourth proportional to 29,625.60, 44,430.30 and 12,097.20 is: 18,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,625.60 : 44,430.30 = 12,097.20 : x
  2. Step 2: Convert to fraction form
    29,625.60/44,430.30 = 12,097.20/x
  3. Step 3: Cross multiply
    29,625.60x = 44,430.30 × 12,097.20
  4. Step 4: Simplify right side
    29,625.60x = 537,482,225.16
  5. Step 5: Solve for x
    x = 537,482,225.16/29,625.60
  6. Step 6: Final answer
    x = 18,142.49

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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.