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Finding the Fourth Proportional to 42,295.46, 63,444.74 and 14,216.47

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Solution

The fourth proportional to 42,295.46, 63,444.74 and 14,216.47 is: 21,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.46 : 63,444.74 = 14,216.47 : x
  2. Step 2: Convert to fraction form
    42,295.46/63,444.74 = 14,216.47/x
  3. Step 3: Cross multiply
    42,295.46x = 63,444.74 × 14,216.47
  4. Step 4: Simplify right side
    42,295.46x = 901,960,013.17
  5. Step 5: Solve for x
    x = 901,960,013.17/42,295.46
  6. Step 6: Final answer
    x = 21,325.22

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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.