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Finding the Fourth Proportional to 32,365, 44,664.78 and 19,787.32

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Solution

The fourth proportional to 32,365, 44,664.78 and 19,787.32 is: 27,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365 : 44,664.78 = 19,787.32 : x
  2. Step 2: Convert to fraction form
    32,365/44,664.78 = 19,787.32/x
  3. Step 3: Cross multiply
    32,365x = 44,664.78 × 19,787.32
  4. Step 4: Simplify right side
    32,365x = 883,796,294.59
  5. Step 5: Solve for x
    x = 883,796,294.59/32,365
  6. Step 6: Final answer
    x = 27,307.16

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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.