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Finding the Fourth Proportional to 76,356.54, 105,411.78 and 59,322.42

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Solution

The fourth proportional to 76,356.54, 105,411.78 and 59,322.42 is: 81,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.54 : 105,411.78 = 59,322.42 : x
  2. Step 2: Convert to fraction form
    76,356.54/105,411.78 = 59,322.42/x
  3. Step 3: Cross multiply
    76,356.54x = 105,411.78 × 59,322.42
  4. Step 4: Simplify right side
    76,356.54x = 6,253,281,886.11
  5. Step 5: Solve for x
    x = 6,253,281,886.11/76,356.54
  6. Step 6: Final answer
    x = 81,895.83

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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.