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Finding the Fourth Proportional to 74,438.64, 102,646.48 and 47,582.32

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Solution

The fourth proportional to 74,438.64, 102,646.48 and 47,582.32 is: 65,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,438.64 : 102,646.48 = 47,582.32 : x
  2. Step 2: Convert to fraction form
    74,438.64/102,646.48 = 47,582.32/x
  3. Step 3: Cross multiply
    74,438.64x = 102,646.48 × 47,582.32
  4. Step 4: Simplify right side
    74,438.64x = 4,884,157,658.23
  5. Step 5: Solve for x
    x = 4,884,157,658.23/74,438.64
  6. Step 6: Final answer
    x = 65,613.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.