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Finding the Fourth Proportional to 42,434.16, 63,648 and 14,356.56

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Solution

The fourth proportional to 42,434.16, 63,648 and 14,356.56 is: 21,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434.16 : 63,648 = 14,356.56 : x
  2. Step 2: Convert to fraction form
    42,434.16/63,648 = 14,356.56/x
  3. Step 3: Cross multiply
    42,434.16x = 63,648 × 14,356.56
  4. Step 4: Simplify right side
    42,434.16x = 913,766,330.88
  5. Step 5: Solve for x
    x = 913,766,330.88/42,434.16
  6. Step 6: Final answer
    x = 21,533.74

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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.