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Finding the Fourth Proportional to 52,776.86, 78,978.30 and 46,549.04

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Solution

The fourth proportional to 52,776.86, 78,978.30 and 46,549.04 is: 69,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,776.86 : 78,978.30 = 46,549.04 : x
  2. Step 2: Convert to fraction form
    52,776.86/78,978.30 = 46,549.04/x
  3. Step 3: Cross multiply
    52,776.86x = 78,978.30 × 46,549.04
  4. Step 4: Simplify right side
    52,776.86x = 3,676,363,650.94
  5. Step 5: Solve for x
    x = 3,676,363,650.94/52,776.86
  6. Step 6: Final answer
    x = 69,658.63

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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.