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Finding the Fourth Proportional to 53,905.94, 80,751.95 and 25,403.86

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Solution

The fourth proportional to 53,905.94, 80,751.95 and 25,403.86 is: 38,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.94 : 80,751.95 = 25,403.86 : x
  2. Step 2: Convert to fraction form
    53,905.94/80,751.95 = 25,403.86/x
  3. Step 3: Cross multiply
    53,905.94x = 80,751.95 × 25,403.86
  4. Step 4: Simplify right side
    53,905.94x = 2,051,411,232.53
  5. Step 5: Solve for x
    x = 2,051,411,232.53/53,905.94
  6. Step 6: Final answer
    x = 38,055.38

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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.