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Finding the Fourth Proportional to 56,946.80, 85,430.10 and 23,648.60

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Solution

The fourth proportional to 56,946.80, 85,430.10 and 23,648.60 is: 35,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946.80 : 85,430.10 = 23,648.60 : x
  2. Step 2: Convert to fraction form
    56,946.80/85,430.10 = 23,648.60/x
  3. Step 3: Cross multiply
    56,946.80x = 85,430.10 × 23,648.60
  4. Step 4: Simplify right side
    56,946.80x = 2,020,302,262.86
  5. Step 5: Solve for x
    x = 2,020,302,262.86/56,946.80
  6. Step 6: Final answer
    x = 35,477.01

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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.