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Finding the Fourth Proportional to 64,870.16, 97,348.50 and 22,750.20

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Solution

The fourth proportional to 64,870.16, 97,348.50 and 22,750.20 is: 34,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870.16 : 97,348.50 = 22,750.20 : x
  2. Step 2: Convert to fraction form
    64,870.16/97,348.50 = 22,750.20/x
  3. Step 3: Cross multiply
    64,870.16x = 97,348.50 × 22,750.20
  4. Step 4: Simplify right side
    64,870.16x = 2,214,697,844.70
  5. Step 5: Solve for x
    x = 2,214,697,844.70/64,870.16
  6. Step 6: Final answer
    x = 34,140.47

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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.