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Finding the Fourth Proportional to 35,148, 52,707.36 and 12,962.64

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Solution

The fourth proportional to 35,148, 52,707.36 and 12,962.64 is: 19,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,148 : 52,707.36 = 12,962.64 : x
  2. Step 2: Convert to fraction form
    35,148/52,707.36 = 12,962.64/x
  3. Step 3: Cross multiply
    35,148x = 52,707.36 × 12,962.64
  4. Step 4: Simplify right side
    35,148x = 683,226,533.03
  5. Step 5: Solve for x
    x = 683,226,533.03/35,148
  6. Step 6: Final answer
    x = 19,438.56

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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.