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Finding the Fourth Proportional to 30,823.61, 46,235.61 and 10,047.11

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Solution

The fourth proportional to 30,823.61, 46,235.61 and 10,047.11 is: 15,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.61 : 46,235.61 = 10,047.11 : x
  2. Step 2: Convert to fraction form
    30,823.61/46,235.61 = 10,047.11/x
  3. Step 3: Cross multiply
    30,823.61x = 46,235.61 × 10,047.11
  4. Step 4: Simplify right side
    30,823.61x = 464,533,978.17
  5. Step 5: Solve for x
    x = 464,533,978.17/30,823.61
  6. Step 6: Final answer
    x = 15,070.72

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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.