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Finding the Fourth Proportional to 101,381.34, 152,089.29 and 31,259.10

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Solution

The fourth proportional to 101,381.34, 152,089.29 and 31,259.10 is: 46,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,381.34 : 152,089.29 = 31,259.10 : x
  2. Step 2: Convert to fraction form
    101,381.34/152,089.29 = 31,259.10/x
  3. Step 3: Cross multiply
    101,381.34x = 152,089.29 × 31,259.10
  4. Step 4: Simplify right side
    101,381.34x = 4,754,174,325.04
  5. Step 5: Solve for x
    x = 4,754,174,325.04/101,381.34
  6. Step 6: Final answer
    x = 46,893.98

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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.