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Finding the Fourth Proportional to 76,353.53, 105,364.31 and 42,361.65

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Solution

The fourth proportional to 76,353.53, 105,364.31 and 42,361.65 is: 58,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353.53 : 105,364.31 = 42,361.65 : x
  2. Step 2: Convert to fraction form
    76,353.53/105,364.31 = 42,361.65/x
  3. Step 3: Cross multiply
    76,353.53x = 105,364.31 × 42,361.65
  4. Step 4: Simplify right side
    76,353.53x = 4,463,405,810.90
  5. Step 5: Solve for x
    x = 4,463,405,810.90/76,353.53
  6. Step 6: Final answer
    x = 58,457.10

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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.