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Finding the Fourth Proportional to 30,653.92, 45,794.53 and 19,471.06

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Solution

The fourth proportional to 30,653.92, 45,794.53 and 19,471.06 is: 29,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.92 : 45,794.53 = 19,471.06 : x
  2. Step 2: Convert to fraction form
    30,653.92/45,794.53 = 19,471.06/x
  3. Step 3: Cross multiply
    30,653.92x = 45,794.53 × 19,471.06
  4. Step 4: Simplify right side
    30,653.92x = 891,668,041.30
  5. Step 5: Solve for x
    x = 891,668,041.30/30,653.92
  6. Step 6: Final answer
    x = 29,088.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.