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Finding the Fourth Proportional to 82,133.10, 113,343.65 and 46,323.03

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Solution

The fourth proportional to 82,133.10, 113,343.65 and 46,323.03 is: 63,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.10 : 113,343.65 = 46,323.03 : x
  2. Step 2: Convert to fraction form
    82,133.10/113,343.65 = 46,323.03/x
  3. Step 3: Cross multiply
    82,133.10x = 113,343.65 × 46,323.03
  4. Step 4: Simplify right side
    82,133.10x = 5,250,421,299.26
  5. Step 5: Solve for x
    x = 5,250,421,299.26/82,133.10
  6. Step 6: Final answer
    x = 63,925.77

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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.