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Finding the Fourth Proportional to 32,686.48, 45,106.92 and 17,782.48

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Solution

The fourth proportional to 32,686.48, 45,106.92 and 17,782.48 is: 24,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.48 : 45,106.92 = 17,782.48 : x
  2. Step 2: Convert to fraction form
    32,686.48/45,106.92 = 17,782.48/x
  3. Step 3: Cross multiply
    32,686.48x = 45,106.92 × 17,782.48
  4. Step 4: Simplify right side
    32,686.48x = 802,112,902.76
  5. Step 5: Solve for x
    x = 802,112,902.76/32,686.48
  6. Step 6: Final answer
    x = 24,539.59

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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.