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Finding the Fourth Proportional to 77,762.38, 107,363.74 and 59,825.74

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Solution

The fourth proportional to 77,762.38, 107,363.74 and 59,825.74 is: 82,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.38 : 107,363.74 = 59,825.74 : x
  2. Step 2: Convert to fraction form
    77,762.38/107,363.74 = 59,825.74/x
  3. Step 3: Cross multiply
    77,762.38x = 107,363.74 × 59,825.74
  4. Step 4: Simplify right side
    77,762.38x = 6,423,115,194.67
  5. Step 5: Solve for x
    x = 6,423,115,194.67/77,762.38
  6. Step 6: Final answer
    x = 82,599.26

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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.