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Finding the Fourth Proportional to 96,328.76, 132,938.70 and 53,888

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Solution

The fourth proportional to 96,328.76, 132,938.70 and 53,888 is: 74,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,328.76 : 132,938.70 = 53,888 : x
  2. Step 2: Convert to fraction form
    96,328.76/132,938.70 = 53,888/x
  3. Step 3: Cross multiply
    96,328.76x = 132,938.70 × 53,888
  4. Step 4: Simplify right side
    96,328.76x = 7,163,800,665.60
  5. Step 5: Solve for x
    x = 7,163,800,665.60/96,328.76
  6. Step 6: Final answer
    x = 74,368.24

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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.