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Finding the Fourth Proportional to 48,616.75, 72,925.13 and 15,784.75

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Solution

The fourth proportional to 48,616.75, 72,925.13 and 15,784.75 is: 23,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,616.75 : 72,925.13 = 15,784.75 : x
  2. Step 2: Convert to fraction form
    48,616.75/72,925.13 = 15,784.75/x
  3. Step 3: Cross multiply
    48,616.75x = 72,925.13 × 15,784.75
  4. Step 4: Simplify right side
    48,616.75x = 1,151,104,945.77
  5. Step 5: Solve for x
    x = 1,151,104,945.77/48,616.75
  6. Step 6: Final answer
    x = 23,677.13

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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.