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Finding the Fourth Proportional to 78,004.79, 117,024.79 and 24,700

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Solution

The fourth proportional to 78,004.79, 117,024.79 and 24,700 is: 37,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.79 : 117,024.79 = 24,700 : x
  2. Step 2: Convert to fraction form
    78,004.79/117,024.79 = 24,700/x
  3. Step 3: Cross multiply
    78,004.79x = 117,024.79 × 24,700
  4. Step 4: Simplify right side
    78,004.79x = 2,890,512,313
  5. Step 5: Solve for x
    x = 2,890,512,313/78,004.79
  6. Step 6: Final answer
    x = 37,055.57

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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.