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Finding the Fourth Proportional to 49,762.32, 74,669.40 and 46,893.84

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Solution

The fourth proportional to 49,762.32, 74,669.40 and 46,893.84 is: 70,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.32 : 74,669.40 = 46,893.84 : x
  2. Step 2: Convert to fraction form
    49,762.32/74,669.40 = 46,893.84/x
  3. Step 3: Cross multiply
    49,762.32x = 74,669.40 × 46,893.84
  4. Step 4: Simplify right side
    49,762.32x = 3,501,534,896.50
  5. Step 5: Solve for x
    x = 3,501,534,896.50/49,762.32
  6. Step 6: Final answer
    x = 70,365.19

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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.