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Finding the Fourth Proportional to 65,875.84, 98,742.88 and 28,453.52

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Solution

The fourth proportional to 65,875.84, 98,742.88 and 28,453.52 is: 42,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,875.84 : 98,742.88 = 28,453.52 : x
  2. Step 2: Convert to fraction form
    65,875.84/98,742.88 = 28,453.52/x
  3. Step 3: Cross multiply
    65,875.84x = 98,742.88 × 28,453.52
  4. Step 4: Simplify right side
    65,875.84x = 2,809,582,510.94
  5. Step 5: Solve for x
    x = 2,809,582,510.94/65,875.84
  6. Step 6: Final answer
    x = 42,649.67

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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.