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Finding the Fourth Proportional to 84,415.80, 116,506.44 and 52,594.98

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Solution

The fourth proportional to 84,415.80, 116,506.44 and 52,594.98 is: 72,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.80 : 116,506.44 = 52,594.98 : x
  2. Step 2: Convert to fraction form
    84,415.80/116,506.44 = 52,594.98/x
  3. Step 3: Cross multiply
    84,415.80x = 116,506.44 × 52,594.98
  4. Step 4: Simplify right side
    84,415.80x = 6,127,653,881.67
  5. Step 5: Solve for x
    x = 6,127,653,881.67/84,415.80
  6. Step 6: Final answer
    x = 72,588.95

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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.