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Finding the Fourth Proportional to 32,782.25, 45,239.51 and 17,878.25

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Solution

The fourth proportional to 32,782.25, 45,239.51 and 17,878.25 is: 24,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.25 : 45,239.51 = 17,878.25 : x
  2. Step 2: Convert to fraction form
    32,782.25/45,239.51 = 17,878.25/x
  3. Step 3: Cross multiply
    32,782.25x = 45,239.51 × 17,878.25
  4. Step 4: Simplify right side
    32,782.25x = 808,803,269.66
  5. Step 5: Solve for x
    x = 808,803,269.66/32,782.25
  6. Step 6: Final answer
    x = 24,671.99

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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.