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Finding the Fourth Proportional to 76,794.66, 105,972.21 and 42,802.02

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Solution

The fourth proportional to 76,794.66, 105,972.21 and 42,802.02 is: 59,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.66 : 105,972.21 = 42,802.02 : x
  2. Step 2: Convert to fraction form
    76,794.66/105,972.21 = 42,802.02/x
  3. Step 3: Cross multiply
    76,794.66x = 105,972.21 × 42,802.02
  4. Step 4: Simplify right side
    76,794.66x = 4,535,824,651.86
  5. Step 5: Solve for x
    x = 4,535,824,651.86/76,794.66
  6. Step 6: Final answer
    x = 59,064.32

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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.