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Finding the Fourth Proportional to 98,002.52, 147,008.64 and 27,886.76

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Solution

The fourth proportional to 98,002.52, 147,008.64 and 27,886.76 is: 41,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002.52 : 147,008.64 = 27,886.76 : x
  2. Step 2: Convert to fraction form
    98,002.52/147,008.64 = 27,886.76/x
  3. Step 3: Cross multiply
    98,002.52x = 147,008.64 × 27,886.76
  4. Step 4: Simplify right side
    98,002.52x = 4,099,594,661.61
  5. Step 5: Solve for x
    x = 4,099,594,661.61/98,002.52
  6. Step 6: Final answer
    x = 41,831.52

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1.5x scale

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.