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Finding the Fourth Proportional to 30,772.70, 46,159.05 and 21,988.70

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Solution

The fourth proportional to 30,772.70, 46,159.05 and 21,988.70 is: 32,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.70 : 46,159.05 = 21,988.70 : x
  2. Step 2: Convert to fraction form
    30,772.70/46,159.05 = 21,988.70/x
  3. Step 3: Cross multiply
    30,772.70x = 46,159.05 × 21,988.70
  4. Step 4: Simplify right side
    30,772.70x = 1,014,977,502.74
  5. Step 5: Solve for x
    x = 1,014,977,502.74/30,772.70
  6. Step 6: Final answer
    x = 32,983.05

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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.