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Finding the Fourth Proportional to 30,492.68, 42,081.92 and 17,063.16

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Solution

The fourth proportional to 30,492.68, 42,081.92 and 17,063.16 is: 23,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.68 : 42,081.92 = 17,063.16 : x
  2. Step 2: Convert to fraction form
    30,492.68/42,081.92 = 17,063.16/x
  3. Step 3: Cross multiply
    30,492.68x = 42,081.92 × 17,063.16
  4. Step 4: Simplify right side
    30,492.68x = 718,050,534.07
  5. Step 5: Solve for x
    x = 718,050,534.07/30,492.68
  6. Step 6: Final answer
    x = 23,548.29

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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.