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Finding the Fourth Proportional to 64,925, 89,596.50 and 35,117

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Solution

The fourth proportional to 64,925, 89,596.50 and 35,117 is: 48,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,925 : 89,596.50 = 35,117 : x
  2. Step 2: Convert to fraction form
    64,925/89,596.50 = 35,117/x
  3. Step 3: Cross multiply
    64,925x = 89,596.50 × 35,117
  4. Step 4: Simplify right side
    64,925x = 3,146,360,290.50
  5. Step 5: Solve for x
    x = 3,146,360,290.50/64,925
  6. Step 6: Final answer
    x = 48,461.46

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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.