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Finding the Fourth Proportional to 64,838, 89,476.44 and 35,030

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Solution

The fourth proportional to 64,838, 89,476.44 and 35,030 is: 48,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,838 : 89,476.44 = 35,030 : x
  2. Step 2: Convert to fraction form
    64,838/89,476.44 = 35,030/x
  3. Step 3: Cross multiply
    64,838x = 89,476.44 × 35,030
  4. Step 4: Simplify right side
    64,838x = 3,134,359,693.20
  5. Step 5: Solve for x
    x = 3,134,359,693.20/64,838
  6. Step 6: Final answer
    x = 48,341.40

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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.