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Finding the Fourth Proportional to 86,415.50, 119,253.40 and 46,671.50

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Solution

The fourth proportional to 86,415.50, 119,253.40 and 46,671.50 is: 64,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,415.50 : 119,253.40 = 46,671.50 : x
  2. Step 2: Convert to fraction form
    86,415.50/119,253.40 = 46,671.50/x
  3. Step 3: Cross multiply
    86,415.50x = 119,253.40 × 46,671.50
  4. Step 4: Simplify right side
    86,415.50x = 5,565,735,058.10
  5. Step 5: Solve for x
    x = 5,565,735,058.10/86,415.50
  6. Step 6: Final answer
    x = 64,406.68

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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.