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Finding the Fourth Proportional to 78,227.74, 107,937.66 and 46,406.98

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Solution

The fourth proportional to 78,227.74, 107,937.66 and 46,406.98 is: 64,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,227.74 : 107,937.66 = 46,406.98 : x
  2. Step 2: Convert to fraction form
    78,227.74/107,937.66 = 46,406.98/x
  3. Step 3: Cross multiply
    78,227.74x = 107,937.66 × 46,406.98
  4. Step 4: Simplify right side
    78,227.74x = 5,009,060,828.87
  5. Step 5: Solve for x
    x = 5,009,060,828.87/78,227.74
  6. Step 6: Final answer
    x = 64,031.77

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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.