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Finding the Fourth Proportional to 30,565.10, 42,820.30 and 30,565.10

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Solution

The fourth proportional to 30,565.10, 42,820.30 and 30,565.10 is: 42,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.10 : 42,820.30 = 30,565.10 : x
  2. Step 2: Convert to fraction form
    30,565.10/42,820.30 = 30,565.10/x
  3. Step 3: Cross multiply
    30,565.10x = 42,820.30 × 30,565.10
  4. Step 4: Simplify right side
    30,565.10x = 1,308,806,751.53
  5. Step 5: Solve for x
    x = 1,308,806,751.53/30,565.10
  6. Step 6: Final answer
    x = 42,820.30

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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.