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Finding the Fourth Proportional to 70,607.40, 105,938.82 and 31,137

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Solution

The fourth proportional to 70,607.40, 105,938.82 and 31,137 is: 46,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607.40 : 105,938.82 = 31,137 : x
  2. Step 2: Convert to fraction form
    70,607.40/105,938.82 = 31,137/x
  3. Step 3: Cross multiply
    70,607.40x = 105,938.82 × 31,137
  4. Step 4: Simplify right side
    70,607.40x = 3,298,617,038.34
  5. Step 5: Solve for x
    x = 3,298,617,038.34/70,607.40
  6. Step 6: Final answer
    x = 46,717.72

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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.