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Finding the Fourth Proportional to 30,482.16, 42,072.12 and 19,302

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Solution

The fourth proportional to 30,482.16, 42,072.12 and 19,302 is: 26,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.16 : 42,072.12 = 19,302 : x
  2. Step 2: Convert to fraction form
    30,482.16/42,072.12 = 19,302/x
  3. Step 3: Cross multiply
    30,482.16x = 42,072.12 × 19,302
  4. Step 4: Simplify right side
    30,482.16x = 812,076,060.24
  5. Step 5: Solve for x
    x = 812,076,060.24/30,482.16
  6. Step 6: Final answer
    x = 26,641.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.