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Finding the Fourth Proportional to 46,678.71, 64,416 and 25,457.52

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Solution

The fourth proportional to 46,678.71, 64,416 and 25,457.52 is: 35,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.71 : 64,416 = 25,457.52 : x
  2. Step 2: Convert to fraction form
    46,678.71/64,416 = 25,457.52/x
  3. Step 3: Cross multiply
    46,678.71x = 64,416 × 25,457.52
  4. Step 4: Simplify right side
    46,678.71x = 1,639,871,608.32
  5. Step 5: Solve for x
    x = 1,639,871,608.32/46,678.71
  6. Step 6: Final answer
    x = 35,131.04

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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.