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Finding the Fourth Proportional to 77,513.83, 106,970.43 and 43,524.21

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Solution

The fourth proportional to 77,513.83, 106,970.43 and 43,524.21 is: 60,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,513.83 : 106,970.43 = 43,524.21 : x
  2. Step 2: Convert to fraction form
    77,513.83/106,970.43 = 43,524.21/x
  3. Step 3: Cross multiply
    77,513.83x = 106,970.43 × 43,524.21
  4. Step 4: Simplify right side
    77,513.83x = 4,655,803,459.11
  5. Step 5: Solve for x
    x = 4,655,803,459.11/77,513.83
  6. Step 6: Final answer
    x = 60,064.16

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1.5x scale

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.