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Finding the Fourth Proportional to 58,309.60, 87,464.40 and 46,645.60

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Solution

The fourth proportional to 58,309.60, 87,464.40 and 46,645.60 is: 69,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,309.60 : 87,464.40 = 46,645.60 : x
  2. Step 2: Convert to fraction form
    58,309.60/87,464.40 = 46,645.60/x
  3. Step 3: Cross multiply
    58,309.60x = 87,464.40 × 46,645.60
  4. Step 4: Simplify right side
    58,309.60x = 4,079,829,416.64
  5. Step 5: Solve for x
    x = 4,079,829,416.64/58,309.60
  6. Step 6: Final answer
    x = 69,968.40

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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.