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Finding the Fourth Proportional to 92,038.47, 138,037.15 and 35,880.09

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Solution

The fourth proportional to 92,038.47, 138,037.15 and 35,880.09 is: 53,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038.47 : 138,037.15 = 35,880.09 : x
  2. Step 2: Convert to fraction form
    92,038.47/138,037.15 = 35,880.09/x
  3. Step 3: Cross multiply
    92,038.47x = 138,037.15 × 35,880.09
  4. Step 4: Simplify right side
    92,038.47x = 4,952,785,365.34
  5. Step 5: Solve for x
    x = 4,952,785,365.34/92,038.47
  6. Step 6: Final answer
    x = 53,812.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.