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Finding the Fourth Proportional to 46,457.36, 64,111.76 and 25,237

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Solution

The fourth proportional to 46,457.36, 64,111.76 and 25,237 is: 34,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457.36 : 64,111.76 = 25,237 : x
  2. Step 2: Convert to fraction form
    46,457.36/64,111.76 = 25,237/x
  3. Step 3: Cross multiply
    46,457.36x = 64,111.76 × 25,237
  4. Step 4: Simplify right side
    46,457.36x = 1,617,988,487.12
  5. Step 5: Solve for x
    x = 1,617,988,487.12/46,457.36
  6. Step 6: Final answer
    x = 34,827.39

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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.