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Finding the Fourth Proportional to 52,855.96, 72,929.82 and 30,487

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Solution

The fourth proportional to 52,855.96, 72,929.82 and 30,487 is: 42,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855.96 : 72,929.82 = 30,487 : x
  2. Step 2: Convert to fraction form
    52,855.96/72,929.82 = 30,487/x
  3. Step 3: Cross multiply
    52,855.96x = 72,929.82 × 30,487
  4. Step 4: Simplify right side
    52,855.96x = 2,223,411,422.34
  5. Step 5: Solve for x
    x = 2,223,411,422.34/52,855.96
  6. Step 6: Final answer
    x = 42,065.48

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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.