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Finding the Fourth Proportional to 76,220.48, 114,390.40 and 49,918.40

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Solution

The fourth proportional to 76,220.48, 114,390.40 and 49,918.40 is: 74,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,220.48 : 114,390.40 = 49,918.40 : x
  2. Step 2: Convert to fraction form
    76,220.48/114,390.40 = 49,918.40/x
  3. Step 3: Cross multiply
    76,220.48x = 114,390.40 × 49,918.40
  4. Step 4: Simplify right side
    76,220.48x = 5,710,185,743.36
  5. Step 5: Solve for x
    x = 5,710,185,743.36/76,220.48
  6. Step 6: Final answer
    x = 74,916.69

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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.