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Finding the Fourth Proportional to 96,762.70, 133,509.16 and 56,453.46

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Solution

The fourth proportional to 96,762.70, 133,509.16 and 56,453.46 is: 77,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762.70 : 133,509.16 = 56,453.46 : x
  2. Step 2: Convert to fraction form
    96,762.70/133,509.16 = 56,453.46/x
  3. Step 3: Cross multiply
    96,762.70x = 133,509.16 × 56,453.46
  4. Step 4: Simplify right side
    96,762.70x = 7,537,054,023.69
  5. Step 5: Solve for x
    x = 7,537,054,023.69/96,762.70
  6. Step 6: Final answer
    x = 77,892.14

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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.