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Finding the Fourth Proportional to 60,152.51, 83,014.34 and 34,658.42

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Solution

The fourth proportional to 60,152.51, 83,014.34 and 34,658.42 is: 47,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,152.51 : 83,014.34 = 34,658.42 : x
  2. Step 2: Convert to fraction form
    60,152.51/83,014.34 = 34,658.42/x
  3. Step 3: Cross multiply
    60,152.51x = 83,014.34 × 34,658.42
  4. Step 4: Simplify right side
    60,152.51x = 2,877,145,273.38
  5. Step 5: Solve for x
    x = 2,877,145,273.38/60,152.51
  6. Step 6: Final answer
    x = 47,830.84

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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.