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Finding the Fourth Proportional to 64,824, 89,454.88 and 36,528

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Solution

The fourth proportional to 64,824, 89,454.88 and 36,528 is: 50,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824 : 89,454.88 = 36,528 : x
  2. Step 2: Convert to fraction form
    64,824/89,454.88 = 36,528/x
  3. Step 3: Cross multiply
    64,824x = 89,454.88 × 36,528
  4. Step 4: Simplify right side
    64,824x = 3,267,607,856.64
  5. Step 5: Solve for x
    x = 3,267,607,856.64/64,824
  6. Step 6: Final answer
    x = 50,407.38

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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.