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Finding the Fourth Proportional to 76,384.85, 105,382.16 and 56,289.66

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Solution

The fourth proportional to 76,384.85, 105,382.16 and 56,289.66 is: 77,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.85 : 105,382.16 = 56,289.66 : x
  2. Step 2: Convert to fraction form
    76,384.85/105,382.16 = 56,289.66/x
  3. Step 3: Cross multiply
    76,384.85x = 105,382.16 × 56,289.66
  4. Step 4: Simplify right side
    76,384.85x = 5,931,925,675.02
  5. Step 5: Solve for x
    x = 5,931,925,675.02/76,384.85
  6. Step 6: Final answer
    x = 77,658.41

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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.