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Finding the Fourth Proportional to 46,528, 69,804.80 and 13,696

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Solution

The fourth proportional to 46,528, 69,804.80 and 13,696 is: 20,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,528 : 69,804.80 = 13,696 : x
  2. Step 2: Convert to fraction form
    46,528/69,804.80 = 13,696/x
  3. Step 3: Cross multiply
    46,528x = 69,804.80 × 13,696
  4. Step 4: Simplify right side
    46,528x = 956,046,540.80
  5. Step 5: Solve for x
    x = 956,046,540.80/46,528
  6. Step 6: Final answer
    x = 20,547.77

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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.