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Finding the Fourth Proportional to 117,588.60, 176,210.10 and 47,345.40

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Solution

The fourth proportional to 117,588.60, 176,210.10 and 47,345.40 is: 70,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,588.60 : 176,210.10 = 47,345.40 : x
  2. Step 2: Convert to fraction form
    117,588.60/176,210.10 = 47,345.40/x
  3. Step 3: Cross multiply
    117,588.60x = 176,210.10 × 47,345.40
  4. Step 4: Simplify right side
    117,588.60x = 8,342,737,668.54
  5. Step 5: Solve for x
    x = 8,342,737,668.54/117,588.60
  6. Step 6: Final answer
    x = 70,948.52

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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.