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Finding the Fourth Proportional to 116,586.60, 174,951.90 and 46,458.60

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Solution

The fourth proportional to 116,586.60, 174,951.90 and 46,458.60 is: 69,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586.60 : 174,951.90 = 46,458.60 : x
  2. Step 2: Convert to fraction form
    116,586.60/174,951.90 = 46,458.60/x
  3. Step 3: Cross multiply
    116,586.60x = 174,951.90 × 46,458.60
  4. Step 4: Simplify right side
    116,586.60x = 8,128,020,341.34
  5. Step 5: Solve for x
    x = 8,128,020,341.34/116,586.60
  6. Step 6: Final answer
    x = 69,716.59

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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.