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Finding the Fourth Proportional to 98,007.52, 147,025.02 and 31,432

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Solution

The fourth proportional to 98,007.52, 147,025.02 and 31,432 is: 47,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,007.52 : 147,025.02 = 31,432 : x
  2. Step 2: Convert to fraction form
    98,007.52/147,025.02 = 31,432/x
  3. Step 3: Cross multiply
    98,007.52x = 147,025.02 × 31,432
  4. Step 4: Simplify right side
    98,007.52x = 4,621,290,428.64
  5. Step 5: Solve for x
    x = 4,621,290,428.64/98,007.52
  6. Step 6: Final answer
    x = 47,152.41

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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.