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Finding the Fourth Proportional to 76,466.16, 105,521.94 and 42,473.30

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Solution

The fourth proportional to 76,466.16, 105,521.94 and 42,473.30 is: 58,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.16 : 105,521.94 = 42,473.30 : x
  2. Step 2: Convert to fraction form
    76,466.16/105,521.94 = 42,473.30/x
  3. Step 3: Cross multiply
    76,466.16x = 105,521.94 × 42,473.30
  4. Step 4: Simplify right side
    76,466.16x = 4,481,864,486.59
  5. Step 5: Solve for x
    x = 4,481,864,486.59/76,466.16
  6. Step 6: Final answer
    x = 58,612.39

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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.