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Finding the Fourth Proportional to 78,533.40, 108,386.82 and 53,391

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Solution

The fourth proportional to 78,533.40, 108,386.82 and 53,391 is: 73,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,533.40 : 108,386.82 = 53,391 : x
  2. Step 2: Convert to fraction form
    78,533.40/108,386.82 = 53,391/x
  3. Step 3: Cross multiply
    78,533.40x = 108,386.82 × 53,391
  4. Step 4: Simplify right side
    78,533.40x = 5,786,880,706.62
  5. Step 5: Solve for x
    x = 5,786,880,706.62/78,533.40
  6. Step 6: Final answer
    x = 73,686.87

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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.