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Finding the Fourth Proportional to 46,547.66, 69,766.81 and 21,534.87

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Solution

The fourth proportional to 46,547.66, 69,766.81 and 21,534.87 is: 32,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,547.66 : 69,766.81 = 21,534.87 : x
  2. Step 2: Convert to fraction form
    46,547.66/69,766.81 = 21,534.87/x
  3. Step 3: Cross multiply
    46,547.66x = 69,766.81 × 21,534.87
  4. Step 4: Simplify right side
    46,547.66x = 1,502,419,210.58
  5. Step 5: Solve for x
    x = 1,502,419,210.58/46,547.66
  6. Step 6: Final answer
    x = 32,277.01

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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.