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Finding the Fourth Proportional to 46,683.68, 70,029.58 and 20,030.90

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Solution

The fourth proportional to 46,683.68, 70,029.58 and 20,030.90 is: 30,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,683.68 : 70,029.58 = 20,030.90 : x
  2. Step 2: Convert to fraction form
    46,683.68/70,029.58 = 20,030.90/x
  3. Step 3: Cross multiply
    46,683.68x = 70,029.58 × 20,030.90
  4. Step 4: Simplify right side
    46,683.68x = 1,402,755,514.02
  5. Step 5: Solve for x
    x = 1,402,755,514.02/46,683.68
  6. Step 6: Final answer
    x = 30,048.09

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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.