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Finding the Fourth Proportional to 84,409.30, 116,497.47 and 52,588.45

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Solution

The fourth proportional to 84,409.30, 116,497.47 and 52,588.45 is: 72,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.30 : 116,497.47 = 52,588.45 : x
  2. Step 2: Convert to fraction form
    84,409.30/116,497.47 = 52,588.45/x
  3. Step 3: Cross multiply
    84,409.30x = 116,497.47 × 52,588.45
  4. Step 4: Simplify right side
    84,409.30x = 6,126,421,376.22
  5. Step 5: Solve for x
    x = 6,126,421,376.22/84,409.30
  6. Step 6: Final answer
    x = 72,579.93

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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.