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Finding the Fourth Proportional to 77,070.34, 106,364.37 and 48,394.72

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Solution

The fourth proportional to 77,070.34, 106,364.37 and 48,394.72 is: 66,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070.34 : 106,364.37 = 48,394.72 : x
  2. Step 2: Convert to fraction form
    77,070.34/106,364.37 = 48,394.72/x
  3. Step 3: Cross multiply
    77,070.34x = 106,364.37 × 48,394.72
  4. Step 4: Simplify right side
    77,070.34x = 5,147,473,904.13
  5. Step 5: Solve for x
    x = 5,147,473,904.13/77,070.34
  6. Step 6: Final answer
    x = 66,789.30

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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.