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Finding the Fourth Proportional to 39,045.66, 53,883 and 21,140.82

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Solution

The fourth proportional to 39,045.66, 53,883 and 21,140.82 is: 29,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,045.66 : 53,883 = 21,140.82 : x
  2. Step 2: Convert to fraction form
    39,045.66/53,883 = 21,140.82/x
  3. Step 3: Cross multiply
    39,045.66x = 53,883 × 21,140.82
  4. Step 4: Simplify right side
    39,045.66x = 1,139,130,804.06
  5. Step 5: Solve for x
    x = 1,139,130,804.06/39,045.66
  6. Step 6: Final answer
    x = 29,174.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.