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Finding the Fourth Proportional to 98,431, 147,646.50 and 31,926.76

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Solution

The fourth proportional to 98,431, 147,646.50 and 31,926.76 is: 47,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431 : 147,646.50 = 31,926.76 : x
  2. Step 2: Convert to fraction form
    98,431/147,646.50 = 31,926.76/x
  3. Step 3: Cross multiply
    98,431x = 147,646.50 × 31,926.76
  4. Step 4: Simplify right side
    98,431x = 4,713,874,370.34
  5. Step 5: Solve for x
    x = 4,713,874,370.34/98,431
  6. Step 6: Final answer
    x = 47,890.14

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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.