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Finding the Fourth Proportional to 32,965.84, 45,492.90 and 19,543.66

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Solution

The fourth proportional to 32,965.84, 45,492.90 and 19,543.66 is: 26,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.84 : 45,492.90 = 19,543.66 : x
  2. Step 2: Convert to fraction form
    32,965.84/45,492.90 = 19,543.66/x
  3. Step 3: Cross multiply
    32,965.84x = 45,492.90 × 19,543.66
  4. Step 4: Simplify right side
    32,965.84x = 889,097,770.01
  5. Step 5: Solve for x
    x = 889,097,770.01/32,965.84
  6. Step 6: Final answer
    x = 26,970.27

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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.