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Finding the Fourth Proportional to 46,741.40, 70,112.10 and 40,909.40

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Solution

The fourth proportional to 46,741.40, 70,112.10 and 40,909.40 is: 61,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,741.40 : 70,112.10 = 40,909.40 : x
  2. Step 2: Convert to fraction form
    46,741.40/70,112.10 = 40,909.40/x
  3. Step 3: Cross multiply
    46,741.40x = 70,112.10 × 40,909.40
  4. Step 4: Simplify right side
    46,741.40x = 2,868,243,943.74
  5. Step 5: Solve for x
    x = 2,868,243,943.74/46,741.40
  6. Step 6: Final answer
    x = 61,364.10

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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.