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Finding the Fourth Proportional to 46,657.38, 64,386.57 and 25,436.61

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Solution

The fourth proportional to 46,657.38, 64,386.57 and 25,436.61 is: 35,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.38 : 64,386.57 = 25,436.61 : x
  2. Step 2: Convert to fraction form
    46,657.38/64,386.57 = 25,436.61/x
  3. Step 3: Cross multiply
    46,657.38x = 64,386.57 × 25,436.61
  4. Step 4: Simplify right side
    46,657.38x = 1,637,776,070.33
  5. Step 5: Solve for x
    x = 1,637,776,070.33/46,657.38
  6. Step 6: Final answer
    x = 35,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.