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Finding the Fourth Proportional to 76,798.05, 105,986.16 and 46,586.22

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Solution

The fourth proportional to 76,798.05, 105,986.16 and 46,586.22 is: 64,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.05 : 105,986.16 = 46,586.22 : x
  2. Step 2: Convert to fraction form
    76,798.05/105,986.16 = 46,586.22/x
  3. Step 3: Cross multiply
    76,798.05x = 105,986.16 × 46,586.22
  4. Step 4: Simplify right side
    76,798.05x = 4,937,494,566.72
  5. Step 5: Solve for x
    x = 4,937,494,566.72/76,798.05
  6. Step 6: Final answer
    x = 64,291.93

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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.