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Finding the Fourth Proportional to 47,783.55, 71,657.10 and 14,492.55

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Solution

The fourth proportional to 47,783.55, 71,657.10 and 14,492.55 is: 21,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.55 : 71,657.10 = 14,492.55 : x
  2. Step 2: Convert to fraction form
    47,783.55/71,657.10 = 14,492.55/x
  3. Step 3: Cross multiply
    47,783.55x = 71,657.10 × 14,492.55
  4. Step 4: Simplify right side
    47,783.55x = 1,038,494,104.61
  5. Step 5: Solve for x
    x = 1,038,494,104.61/47,783.55
  6. Step 6: Final answer
    x = 21,733.30

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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.