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Finding the Fourth Proportional to 92,415.94, 127,534.30 and 49,974.77

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Solution

The fourth proportional to 92,415.94, 127,534.30 and 49,974.77 is: 68,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,415.94 : 127,534.30 = 49,974.77 : x
  2. Step 2: Convert to fraction form
    92,415.94/127,534.30 = 49,974.77/x
  3. Step 3: Cross multiply
    92,415.94x = 127,534.30 × 49,974.77
  4. Step 4: Simplify right side
    92,415.94x = 6,373,497,503.51
  5. Step 5: Solve for x
    x = 6,373,497,503.51/92,415.94
  6. Step 6: Final answer
    x = 68,965.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.