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Finding the Fourth Proportional to 76,232.25, 105,200.51 and 46,424.25

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Solution

The fourth proportional to 76,232.25, 105,200.51 and 46,424.25 is: 64,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.25 : 105,200.51 = 46,424.25 : x
  2. Step 2: Convert to fraction form
    76,232.25/105,200.51 = 46,424.25/x
  3. Step 3: Cross multiply
    76,232.25x = 105,200.51 × 46,424.25
  4. Step 4: Simplify right side
    76,232.25x = 4,883,854,544.25
  5. Step 5: Solve for x
    x = 4,883,854,544.25/76,232.25
  6. Step 6: Final answer
    x = 64,065.47

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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.