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Finding the Fourth Proportional to 28,967.50, 43,416.16 and 12,292.50

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Solution

The fourth proportional to 28,967.50, 43,416.16 and 12,292.50 is: 18,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,967.50 : 43,416.16 = 12,292.50 : x
  2. Step 2: Convert to fraction form
    28,967.50/43,416.16 = 12,292.50/x
  3. Step 3: Cross multiply
    28,967.50x = 43,416.16 × 12,292.50
  4. Step 4: Simplify right side
    28,967.50x = 533,693,116.07
  5. Step 5: Solve for x
    x = 533,693,116.07/28,967.50
  6. Step 6: Final answer
    x = 18,423.86

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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.