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Finding the Fourth Proportional to 57,325.60, 85,602.38 and 46,816.48

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Solution

The fourth proportional to 57,325.60, 85,602.38 and 46,816.48 is: 69,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,325.60 : 85,602.38 = 46,816.48 : x
  2. Step 2: Convert to fraction form
    57,325.60/85,602.38 = 46,816.48/x
  3. Step 3: Cross multiply
    57,325.60x = 85,602.38 × 46,816.48
  4. Step 4: Simplify right side
    57,325.60x = 4,007,602,111.22
  5. Step 5: Solve for x
    x = 4,007,602,111.22/57,325.60
  6. Step 6: Final answer
    x = 69,909.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.