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Finding the Fourth Proportional to 86,415.76, 119,253.74 and 46,671.76

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Solution

The fourth proportional to 86,415.76, 119,253.74 and 46,671.76 is: 64,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,415.76 : 119,253.74 = 46,671.76 : x
  2. Step 2: Convert to fraction form
    86,415.76/119,253.74 = 46,671.76/x
  3. Step 3: Cross multiply
    86,415.76x = 119,253.74 × 46,671.76
  4. Step 4: Simplify right side
    86,415.76x = 5,565,781,932.38
  5. Step 5: Solve for x
    x = 5,565,781,932.38/86,415.76
  6. Step 6: Final answer
    x = 64,407.02

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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.