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Finding the Fourth Proportional to 76,107.50, 105,024.63 and 42,115.35

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Solution

The fourth proportional to 76,107.50, 105,024.63 and 42,115.35 is: 58,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107.50 : 105,024.63 = 42,115.35 : x
  2. Step 2: Convert to fraction form
    76,107.50/105,024.63 = 42,115.35/x
  3. Step 3: Cross multiply
    76,107.50x = 105,024.63 × 42,115.35
  4. Step 4: Simplify right side
    76,107.50x = 4,423,149,051.07
  5. Step 5: Solve for x
    x = 4,423,149,051.07/76,107.50
  6. Step 6: Final answer
    x = 58,117.12

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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.