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Finding the Fourth Proportional to 65,148, 89,904.72 and 35,340

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Solution

The fourth proportional to 65,148, 89,904.72 and 35,340 is: 48,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148 : 89,904.72 = 35,340 : x
  2. Step 2: Convert to fraction form
    65,148/89,904.72 = 35,340/x
  3. Step 3: Cross multiply
    65,148x = 89,904.72 × 35,340
  4. Step 4: Simplify right side
    65,148x = 3,177,232,804.80
  5. Step 5: Solve for x
    x = 3,177,232,804.80/65,148
  6. Step 6: Final answer
    x = 48,769.46

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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.