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Finding the Fourth Proportional to 77,054.58, 106,264.16 and 59,150.34

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Solution

The fourth proportional to 77,054.58, 106,264.16 and 59,150.34 is: 81,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054.58 : 106,264.16 = 59,150.34 : x
  2. Step 2: Convert to fraction form
    77,054.58/106,264.16 = 59,150.34/x
  3. Step 3: Cross multiply
    77,054.58x = 106,264.16 × 59,150.34
  4. Step 4: Simplify right side
    77,054.58x = 6,285,561,193.81
  5. Step 5: Solve for x
    x = 6,285,561,193.81/77,054.58
  6. Step 6: Final answer
    x = 81,572.84

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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.