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Finding the Fourth Proportional to 42,419.66, 63,629.64 and 14,339.93

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Solution

The fourth proportional to 42,419.66, 63,629.64 and 14,339.93 is: 21,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,419.66 : 63,629.64 = 14,339.93 : x
  2. Step 2: Convert to fraction form
    42,419.66/63,629.64 = 14,339.93/x
  3. Step 3: Cross multiply
    42,419.66x = 63,629.64 × 14,339.93
  4. Step 4: Simplify right side
    42,419.66x = 912,444,265.38
  5. Step 5: Solve for x
    x = 912,444,265.38/42,419.66
  6. Step 6: Final answer
    x = 21,509.94

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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.