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Finding the Fourth Proportional to 32,742.74, 45,184.74 and 19,314.02

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Solution

The fourth proportional to 32,742.74, 45,184.74 and 19,314.02 is: 26,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.74 : 45,184.74 = 19,314.02 : x
  2. Step 2: Convert to fraction form
    32,742.74/45,184.74 = 19,314.02/x
  3. Step 3: Cross multiply
    32,742.74x = 45,184.74 × 19,314.02
  4. Step 4: Simplify right side
    32,742.74x = 872,698,972.05
  5. Step 5: Solve for x
    x = 872,698,972.05/32,742.74
  6. Step 6: Final answer
    x = 26,653.21

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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.