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Finding the Fourth Proportional to 96,432.94, 133,069.80 and 53,985.70

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Solution

The fourth proportional to 96,432.94, 133,069.80 and 53,985.70 is: 74,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,432.94 : 133,069.80 = 53,985.70 : x
  2. Step 2: Convert to fraction form
    96,432.94/133,069.80 = 53,985.70/x
  3. Step 3: Cross multiply
    96,432.94x = 133,069.80 × 53,985.70
  4. Step 4: Simplify right side
    96,432.94x = 7,183,866,301.86
  5. Step 5: Solve for x
    x = 7,183,866,301.86/96,432.94
  6. Step 6: Final answer
    x = 74,495.98

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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.