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Finding the Fourth Proportional to 76,335, 105,354.91 and 42,354.42

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Solution

The fourth proportional to 76,335, 105,354.91 and 42,354.42 is: 58,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335 : 105,354.91 = 42,354.42 : x
  2. Step 2: Convert to fraction form
    76,335/105,354.91 = 42,354.42/x
  3. Step 3: Cross multiply
    76,335x = 105,354.91 × 42,354.42
  4. Step 4: Simplify right side
    76,335x = 4,462,246,107.20
  5. Step 5: Solve for x
    x = 4,462,246,107.20/76,335
  6. Step 6: Final answer
    x = 58,456.10

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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.