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Finding the Fourth Proportional to 29,798.40, 44,702.40 and 10,078.12

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Solution

The fourth proportional to 29,798.40, 44,702.40 and 10,078.12 is: 15,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798.40 : 44,702.40 = 10,078.12 : x
  2. Step 2: Convert to fraction form
    29,798.40/44,702.40 = 10,078.12/x
  3. Step 3: Cross multiply
    29,798.40x = 44,702.40 × 10,078.12
  4. Step 4: Simplify right side
    29,798.40x = 450,516,151.49
  5. Step 5: Solve for x
    x = 450,516,151.49/29,798.40
  6. Step 6: Final answer
    x = 15,118.80

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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.