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Finding the Fourth Proportional to 34,165.40, 47,130.46 and 22,822.16

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Solution

The fourth proportional to 34,165.40, 47,130.46 and 22,822.16 is: 31,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.40 : 47,130.46 = 22,822.16 : x
  2. Step 2: Convert to fraction form
    34,165.40/47,130.46 = 22,822.16/x
  3. Step 3: Cross multiply
    34,165.40x = 47,130.46 × 22,822.16
  4. Step 4: Simplify right side
    34,165.40x = 1,075,618,606.29
  5. Step 5: Solve for x
    x = 1,075,618,606.29/34,165.40
  6. Step 6: Final answer
    x = 31,482.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.