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Finding the Fourth Proportional to 82,506.48, 113,835.99 and 46,695.72

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Solution

The fourth proportional to 82,506.48, 113,835.99 and 46,695.72 is: 64,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.48 : 113,835.99 = 46,695.72 : x
  2. Step 2: Convert to fraction form
    82,506.48/113,835.99 = 46,695.72/x
  3. Step 3: Cross multiply
    82,506.48x = 113,835.99 × 46,695.72
  4. Step 4: Simplify right side
    82,506.48x = 5,315,653,985.63
  5. Step 5: Solve for x
    x = 5,315,653,985.63/82,506.48
  6. Step 6: Final answer
    x = 64,427.11

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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.