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Finding the Fourth Proportional to 46,417, 69,637.02 and 13,585

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Solution

The fourth proportional to 46,417, 69,637.02 and 13,585 is: 20,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,417 : 69,637.02 = 13,585 : x
  2. Step 2: Convert to fraction form
    46,417/69,637.02 = 13,585/x
  3. Step 3: Cross multiply
    46,417x = 69,637.02 × 13,585
  4. Step 4: Simplify right side
    46,417x = 946,018,916.70
  5. Step 5: Solve for x
    x = 946,018,916.70/46,417
  6. Step 6: Final answer
    x = 20,380.87

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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.