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Finding the Fourth Proportional to 30,567.60, 42,823.80 and 30,567.60

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Solution

The fourth proportional to 30,567.60, 42,823.80 and 30,567.60 is: 42,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.60 : 42,823.80 = 30,567.60 : x
  2. Step 2: Convert to fraction form
    30,567.60/42,823.80 = 30,567.60/x
  3. Step 3: Cross multiply
    30,567.60x = 42,823.80 × 30,567.60
  4. Step 4: Simplify right side
    30,567.60x = 1,309,020,788.88
  5. Step 5: Solve for x
    x = 1,309,020,788.88/30,567.60
  6. Step 6: Final answer
    x = 42,823.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.