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Finding the Fourth Proportional to 46,580.66, 69,873.72 and 13,298.16

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Solution

The fourth proportional to 46,580.66, 69,873.72 and 13,298.16 is: 19,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580.66 : 69,873.72 = 13,298.16 : x
  2. Step 2: Convert to fraction form
    46,580.66/69,873.72 = 13,298.16/x
  3. Step 3: Cross multiply
    46,580.66x = 69,873.72 × 13,298.16
  4. Step 4: Simplify right side
    46,580.66x = 929,191,908.36
  5. Step 5: Solve for x
    x = 929,191,908.36/46,580.66
  6. Step 6: Final answer
    x = 19,948.02

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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.