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Finding the Fourth Proportional to 32,782.50, 45,240.39 and 17,878.50

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Solution

The fourth proportional to 32,782.50, 45,240.39 and 17,878.50 is: 24,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.50 : 45,240.39 = 17,878.50 : x
  2. Step 2: Convert to fraction form
    32,782.50/45,240.39 = 17,878.50/x
  3. Step 3: Cross multiply
    32,782.50x = 45,240.39 × 17,878.50
  4. Step 4: Simplify right side
    32,782.50x = 808,830,312.62
  5. Step 5: Solve for x
    x = 808,830,312.62/32,782.50
  6. Step 6: Final answer
    x = 24,672.62

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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.