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Finding the Fourth Proportional to 59,977.68, 82,771.86 and 34,492.32

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Solution

The fourth proportional to 59,977.68, 82,771.86 and 34,492.32 is: 47,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,977.68 : 82,771.86 = 34,492.32 : x
  2. Step 2: Convert to fraction form
    59,977.68/82,771.86 = 34,492.32/x
  3. Step 3: Cross multiply
    59,977.68x = 82,771.86 × 34,492.32
  4. Step 4: Simplify right side
    59,977.68x = 2,854,993,482.12
  5. Step 5: Solve for x
    x = 2,854,993,482.12/59,977.68
  6. Step 6: Final answer
    x = 47,600.93

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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.