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Finding the Fourth Proportional to 46,666.32, 64,398.12 and 25,446

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Solution

The fourth proportional to 46,666.32, 64,398.12 and 25,446 is: 35,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,666.32 : 64,398.12 = 25,446 : x
  2. Step 2: Convert to fraction form
    46,666.32/64,398.12 = 25,446/x
  3. Step 3: Cross multiply
    46,666.32x = 64,398.12 × 25,446
  4. Step 4: Simplify right side
    46,666.32x = 1,638,674,561.52
  5. Step 5: Solve for x
    x = 1,638,674,561.52/46,666.32
  6. Step 6: Final answer
    x = 35,114.72

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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.