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Finding the Fourth Proportional to 76,878.94, 115,330.74 and 32,506.16

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Solution

The fourth proportional to 76,878.94, 115,330.74 and 32,506.16 is: 48,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.94 : 115,330.74 = 32,506.16 : x
  2. Step 2: Convert to fraction form
    76,878.94/115,330.74 = 32,506.16/x
  3. Step 3: Cross multiply
    76,878.94x = 115,330.74 × 32,506.16
  4. Step 4: Simplify right side
    76,878.94x = 3,748,959,487.36
  5. Step 5: Solve for x
    x = 3,748,959,487.36/76,878.94
  6. Step 6: Final answer
    x = 48,764.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.