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Finding the Fourth Proportional to 32,382, 48,574.62 and 30,677.76

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Solution

The fourth proportional to 32,382, 48,574.62 and 30,677.76 is: 46,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382 : 48,574.62 = 30,677.76 : x
  2. Step 2: Convert to fraction form
    32,382/48,574.62 = 30,677.76/x
  3. Step 3: Cross multiply
    32,382x = 48,574.62 × 30,677.76
  4. Step 4: Simplify right side
    32,382x = 1,490,160,534.45
  5. Step 5: Solve for x
    x = 1,490,160,534.45/32,382
  6. Step 6: Final answer
    x = 46,018.17

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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.