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Finding the Fourth Proportional to 42,509.40, 63,770 and 18,815.07

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Solution

The fourth proportional to 42,509.40, 63,770 and 18,815.07 is: 28,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.40 : 63,770 = 18,815.07 : x
  2. Step 2: Convert to fraction form
    42,509.40/63,770 = 18,815.07/x
  3. Step 3: Cross multiply
    42,509.40x = 63,770 × 18,815.07
  4. Step 4: Simplify right side
    42,509.40x = 1,199,837,013.90
  5. Step 5: Solve for x
    x = 1,199,837,013.90/42,509.40
  6. Step 6: Final answer
    x = 28,225.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.