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Finding the Fourth Proportional to 64,631.97, 96,947.96 and 29,547

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Solution

The fourth proportional to 64,631.97, 96,947.96 and 29,547 is: 44,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,631.97 : 96,947.96 = 29,547 : x
  2. Step 2: Convert to fraction form
    64,631.97/96,947.96 = 29,547/x
  3. Step 3: Cross multiply
    64,631.97x = 96,947.96 × 29,547
  4. Step 4: Simplify right side
    64,631.97x = 2,864,521,226.39
  5. Step 5: Solve for x
    x = 2,864,521,226.39/64,631.97
  6. Step 6: Final answer
    x = 44,320.50

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1.5x scale

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.