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Finding the Fourth Proportional to 116,048.34, 174,084.63 and 49,495.50

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Solution

The fourth proportional to 116,048.34, 174,084.63 and 49,495.50 is: 74,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,048.34 : 174,084.63 = 49,495.50 : x
  2. Step 2: Convert to fraction form
    116,048.34/174,084.63 = 49,495.50/x
  3. Step 3: Cross multiply
    116,048.34x = 174,084.63 × 49,495.50
  4. Step 4: Simplify right side
    116,048.34x = 8,616,405,804.17
  5. Step 5: Solve for x
    x = 8,616,405,804.17/116,048.34
  6. Step 6: Final answer
    x = 74,248.42

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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.