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Finding the Fourth Proportional to 64,938, 89,614.56 and 35,130

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Solution

The fourth proportional to 64,938, 89,614.56 and 35,130 is: 48,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938 : 89,614.56 = 35,130 : x
  2. Step 2: Convert to fraction form
    64,938/89,614.56 = 35,130/x
  3. Step 3: Cross multiply
    64,938x = 89,614.56 × 35,130
  4. Step 4: Simplify right side
    64,938x = 3,148,159,492.80
  5. Step 5: Solve for x
    x = 3,148,159,492.80/64,938
  6. Step 6: Final answer
    x = 48,479.46

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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.