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Finding the Fourth Proportional to 30,582.30, 45,873.45 and 9,807.90

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Solution

The fourth proportional to 30,582.30, 45,873.45 and 9,807.90 is: 14,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.30 : 45,873.45 = 9,807.90 : x
  2. Step 2: Convert to fraction form
    30,582.30/45,873.45 = 9,807.90/x
  3. Step 3: Cross multiply
    30,582.30x = 45,873.45 × 9,807.90
  4. Step 4: Simplify right side
    30,582.30x = 449,922,210.26
  5. Step 5: Solve for x
    x = 449,922,210.26/30,582.30
  6. Step 6: Final answer
    x = 14,711.85

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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.