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Finding the Fourth Proportional to 32,817.78, 48,970.53 and 29,283.48

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Solution

The fourth proportional to 32,817.78, 48,970.53 and 29,283.48 is: 43,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.78 : 48,970.53 = 29,283.48 : x
  2. Step 2: Convert to fraction form
    32,817.78/48,970.53 = 29,283.48/x
  3. Step 3: Cross multiply
    32,817.78x = 48,970.53 × 29,283.48
  4. Step 4: Simplify right side
    32,817.78x = 1,434,027,535.84
  5. Step 5: Solve for x
    x = 1,434,027,535.84/32,817.78
  6. Step 6: Final answer
    x = 43,696.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.