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Finding the Fourth Proportional to 116,378.50, 174,577.88 and 32,138.77

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Solution

The fourth proportional to 116,378.50, 174,577.88 and 32,138.77 is: 48,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,378.50 : 174,577.88 = 32,138.77 : x
  2. Step 2: Convert to fraction form
    116,378.50/174,577.88 = 32,138.77/x
  3. Step 3: Cross multiply
    116,378.50x = 174,577.88 × 32,138.77
  4. Step 4: Simplify right side
    116,378.50x = 5,610,718,332.41
  5. Step 5: Solve for x
    x = 5,610,718,332.41/116,378.50
  6. Step 6: Final answer
    x = 48,210.95

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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.