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Finding the Fourth Proportional to 35,946.48, 49,605.47 and 20,030.58

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Solution

The fourth proportional to 35,946.48, 49,605.47 and 20,030.58 is: 27,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,946.48 : 49,605.47 = 20,030.58 : x
  2. Step 2: Convert to fraction form
    35,946.48/49,605.47 = 20,030.58/x
  3. Step 3: Cross multiply
    35,946.48x = 49,605.47 × 20,030.58
  4. Step 4: Simplify right side
    35,946.48x = 993,626,235.12
  5. Step 5: Solve for x
    x = 993,626,235.12/35,946.48
  6. Step 6: Final answer
    x = 27,641.82

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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.