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Finding the Fourth Proportional to 31,123.90, 46,595.02 and 23,154.02

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Solution

The fourth proportional to 31,123.90, 46,595.02 and 23,154.02 is: 34,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.90 : 46,595.02 = 23,154.02 : x
  2. Step 2: Convert to fraction form
    31,123.90/46,595.02 = 23,154.02/x
  3. Step 3: Cross multiply
    31,123.90x = 46,595.02 × 23,154.02
  4. Step 4: Simplify right side
    31,123.90x = 1,078,862,214.36
  5. Step 5: Solve for x
    x = 1,078,862,214.36/31,123.90
  6. Step 6: Final answer
    x = 34,663.46

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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.