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Finding the Fourth Proportional to 57,064.94, 78,751.93 and 31,570.86

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Solution

The fourth proportional to 57,064.94, 78,751.93 and 31,570.86 is: 43,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064.94 : 78,751.93 = 31,570.86 : x
  2. Step 2: Convert to fraction form
    57,064.94/78,751.93 = 31,570.86/x
  3. Step 3: Cross multiply
    57,064.94x = 78,751.93 × 31,570.86
  4. Step 4: Simplify right side
    57,064.94x = 2,486,266,156.76
  5. Step 5: Solve for x
    x = 2,486,266,156.76/57,064.94
  6. Step 6: Final answer
    x = 43,569.07

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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.