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Finding the Fourth Proportional to 46,582.50, 69,884.69 and 15,417.75

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Solution

The fourth proportional to 46,582.50, 69,884.69 and 15,417.75 is: 23,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,582.50 : 69,884.69 = 15,417.75 : x
  2. Step 2: Convert to fraction form
    46,582.50/69,884.69 = 15,417.75/x
  3. Step 3: Cross multiply
    46,582.50x = 69,884.69 × 15,417.75
  4. Step 4: Simplify right side
    46,582.50x = 1,077,464,602.16
  5. Step 5: Solve for x
    x = 1,077,464,602.16/46,582.50
  6. Step 6: Final answer
    x = 23,130.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.