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Finding the Fourth Proportional to 30,641.20, 45,929.10 and 17,465.20

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Solution

The fourth proportional to 30,641.20, 45,929.10 and 17,465.20 is: 26,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.20 : 45,929.10 = 17,465.20 : x
  2. Step 2: Convert to fraction form
    30,641.20/45,929.10 = 17,465.20/x
  3. Step 3: Cross multiply
    30,641.20x = 45,929.10 × 17,465.20
  4. Step 4: Simplify right side
    30,641.20x = 802,160,917.32
  5. Step 5: Solve for x
    x = 802,160,917.32/30,641.20
  6. Step 6: Final answer
    x = 26,179.16

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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.