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Finding the Fourth Proportional to 72,307.13, 99,827.60 and 47,200.37

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Solution

The fourth proportional to 72,307.13, 99,827.60 and 47,200.37 is: 65,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307.13 : 99,827.60 = 47,200.37 : x
  2. Step 2: Convert to fraction form
    72,307.13/99,827.60 = 47,200.37/x
  3. Step 3: Cross multiply
    72,307.13x = 99,827.60 × 47,200.37
  4. Step 4: Simplify right side
    72,307.13x = 4,711,898,921.07
  5. Step 5: Solve for x
    x = 4,711,898,921.07/72,307.13
  6. Step 6: Final answer
    x = 65,165.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.