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Finding the Fourth Proportional to 98,184, 147,272.76 and 31,627.92

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Solution

The fourth proportional to 98,184, 147,272.76 and 31,627.92 is: 47,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184 : 147,272.76 = 31,627.92 : x
  2. Step 2: Convert to fraction form
    98,184/147,272.76 = 31,627.92/x
  3. Step 3: Cross multiply
    98,184x = 147,272.76 × 31,627.92
  4. Step 4: Simplify right side
    98,184x = 4,657,931,071.46
  5. Step 5: Solve for x
    x = 4,657,931,071.46/98,184
  6. Step 6: Final answer
    x = 47,440.84

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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.