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Finding the Fourth Proportional to 76,154.90, 114,235.60 and 23,565.38

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Solution

The fourth proportional to 76,154.90, 114,235.60 and 23,565.38 is: 35,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.90 : 114,235.60 = 23,565.38 : x
  2. Step 2: Convert to fraction form
    76,154.90/114,235.60 = 23,565.38/x
  3. Step 3: Cross multiply
    76,154.90x = 114,235.60 × 23,565.38
  4. Step 4: Simplify right side
    76,154.90x = 2,692,005,323.53
  5. Step 5: Solve for x
    x = 2,692,005,323.53/76,154.90
  6. Step 6: Final answer
    x = 35,349.08

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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.