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Finding the Fourth Proportional to 30,497.40, 45,746.10 and 30,205.80

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Solution

The fourth proportional to 30,497.40, 45,746.10 and 30,205.80 is: 45,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.40 : 45,746.10 = 30,205.80 : x
  2. Step 2: Convert to fraction form
    30,497.40/45,746.10 = 30,205.80/x
  3. Step 3: Cross multiply
    30,497.40x = 45,746.10 × 30,205.80
  4. Step 4: Simplify right side
    30,497.40x = 1,381,797,547.38
  5. Step 5: Solve for x
    x = 1,381,797,547.38/30,497.40
  6. Step 6: Final answer
    x = 45,308.70

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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.