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Finding the Fourth Proportional to 46,283.78, 69,394.48 and 37,409.82

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Solution

The fourth proportional to 46,283.78, 69,394.48 and 37,409.82 is: 56,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,283.78 : 69,394.48 = 37,409.82 : x
  2. Step 2: Convert to fraction form
    46,283.78/69,394.48 = 37,409.82/x
  3. Step 3: Cross multiply
    46,283.78x = 69,394.48 × 37,409.82
  4. Step 4: Simplify right side
    46,283.78x = 2,596,035,005.79
  5. Step 5: Solve for x
    x = 2,596,035,005.79/46,283.78
  6. Step 6: Final answer
    x = 56,089.52

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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.