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Finding the Fourth Proportional to 82,994, 114,492.24 and 56,145.92

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Solution

The fourth proportional to 82,994, 114,492.24 and 56,145.92 is: 77,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,994 : 114,492.24 = 56,145.92 : x
  2. Step 2: Convert to fraction form
    82,994/114,492.24 = 56,145.92/x
  3. Step 3: Cross multiply
    82,994x = 114,492.24 × 56,145.92
  4. Step 4: Simplify right side
    82,994x = 6,428,272,147.66
  5. Step 5: Solve for x
    x = 6,428,272,147.66/82,994
  6. Step 6: Final answer
    x = 77,454.66

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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.