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Finding the Fourth Proportional to 52,039.95, 78,060.12 and 12,597.00

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Solution

The fourth proportional to 52,039.95, 78,060.12 and 12,597.00 is: 18,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.95 : 78,060.12 = 12,597.00 : x
  2. Step 2: Convert to fraction form
    52,039.95/78,060.12 = 12,597.00/x
  3. Step 3: Cross multiply
    52,039.95x = 78,060.12 × 12,597.00
  4. Step 4: Simplify right side
    52,039.95x = 983,322,909.85
  5. Step 5: Solve for x
    x = 983,322,909.85/52,039.95
  6. Step 6: Final answer
    x = 18,895.54

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Why These Related Problems?

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