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Finding the Fourth Proportional to 52,842, 72,925.20 and 30,486

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Solution

The fourth proportional to 52,842, 72,925.20 and 30,486 is: 42,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 72,925.20 = 30,486 : x
  2. Step 2: Convert to fraction form
    52,842/72,925.20 = 30,486/x
  3. Step 3: Cross multiply
    52,842x = 72,925.20 × 30,486
  4. Step 4: Simplify right side
    52,842x = 2,223,197,647.20
  5. Step 5: Solve for x
    x = 2,223,197,647.20/52,842
  6. Step 6: Final answer
    x = 42,072.55

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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.