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Finding the Fourth Proportional to 46,497.84, 69,746.14 and 11,437.80

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Solution

The fourth proportional to 46,497.84, 69,746.14 and 11,437.80 is: 17,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497.84 : 69,746.14 = 11,437.80 : x
  2. Step 2: Convert to fraction form
    46,497.84/69,746.14 = 11,437.80/x
  3. Step 3: Cross multiply
    46,497.84x = 69,746.14 × 11,437.80
  4. Step 4: Simplify right side
    46,497.84x = 797,742,400.09
  5. Step 5: Solve for x
    x = 797,742,400.09/46,497.84
  6. Step 6: Final answer
    x = 17,156.55

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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.