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Finding the Fourth Proportional to 46,893, 64,714.50 and 25,673.16

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Solution

The fourth proportional to 46,893, 64,714.50 and 25,673.16 is: 35,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,893 : 64,714.50 = 25,673.16 : x
  2. Step 2: Convert to fraction form
    46,893/64,714.50 = 25,673.16/x
  3. Step 3: Cross multiply
    46,893x = 64,714.50 × 25,673.16
  4. Step 4: Simplify right side
    46,893x = 1,661,425,712.82
  5. Step 5: Solve for x
    x = 1,661,425,712.82/46,893
  6. Step 6: Final answer
    x = 35,430.14

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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.