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Finding the Fourth Proportional to 76,135, 114,247.50 and 42,429.16

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Solution

The fourth proportional to 76,135, 114,247.50 and 42,429.16 is: 63,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135 : 114,247.50 = 42,429.16 : x
  2. Step 2: Convert to fraction form
    76,135/114,247.50 = 42,429.16/x
  3. Step 3: Cross multiply
    76,135x = 114,247.50 × 42,429.16
  4. Step 4: Simplify right side
    76,135x = 4,847,425,457.10
  5. Step 5: Solve for x
    x = 4,847,425,457.10/76,135
  6. Step 6: Final answer
    x = 63,668.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.