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Finding the Fourth Proportional to 82,235.16, 113,484.50 and 44,509.40

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Solution

The fourth proportional to 82,235.16, 113,484.50 and 44,509.40 is: 61,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,235.16 : 113,484.50 = 44,509.40 : x
  2. Step 2: Convert to fraction form
    82,235.16/113,484.50 = 44,509.40/x
  3. Step 3: Cross multiply
    82,235.16x = 113,484.50 × 44,509.40
  4. Step 4: Simplify right side
    82,235.16x = 5,051,127,004.30
  5. Step 5: Solve for x
    x = 5,051,127,004.30/82,235.16
  6. Step 6: Final answer
    x = 61,422.96

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Why These Related Problems?

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