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Finding the Fourth Proportional to 69,869.60, 96,420.06 and 38,038.50

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Solution

The fourth proportional to 69,869.60, 96,420.06 and 38,038.50 is: 52,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.60 : 96,420.06 = 38,038.50 : x
  2. Step 2: Convert to fraction form
    69,869.60/96,420.06 = 38,038.50/x
  3. Step 3: Cross multiply
    69,869.60x = 96,420.06 × 38,038.50
  4. Step 4: Simplify right side
    69,869.60x = 3,667,674,263.23
  5. Step 5: Solve for x
    x = 3,667,674,263.23/69,869.60
  6. Step 6: Final answer
    x = 52,493.13

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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.