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Finding the Fourth Proportional to 52,075.08, 71,854.02 and 30,861

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Solution

The fourth proportional to 52,075.08, 71,854.02 and 30,861 is: 42,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.08 : 71,854.02 = 30,861 : x
  2. Step 2: Convert to fraction form
    52,075.08/71,854.02 = 30,861/x
  3. Step 3: Cross multiply
    52,075.08x = 71,854.02 × 30,861
  4. Step 4: Simplify right side
    52,075.08x = 2,217,486,911.22
  5. Step 5: Solve for x
    x = 2,217,486,911.22/52,075.08
  6. Step 6: Final answer
    x = 42,582.50

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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.