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Finding the Fourth Proportional to 60,612.36, 83,645.64 and 35,457

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Solution

The fourth proportional to 60,612.36, 83,645.64 and 35,457 is: 48,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,612.36 : 83,645.64 = 35,457 : x
  2. Step 2: Convert to fraction form
    60,612.36/83,645.64 = 35,457/x
  3. Step 3: Cross multiply
    60,612.36x = 83,645.64 × 35,457
  4. Step 4: Simplify right side
    60,612.36x = 2,965,823,457.48
  5. Step 5: Solve for x
    x = 2,965,823,457.48/60,612.36
  6. Step 6: Final answer
    x = 48,931.00

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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.