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Finding the Fourth Proportional to 83,088.81, 114,665.09 and 47,283.98

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Solution

The fourth proportional to 83,088.81, 114,665.09 and 47,283.98 is: 65,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,088.81 : 114,665.09 = 47,283.98 : x
  2. Step 2: Convert to fraction form
    83,088.81/114,665.09 = 47,283.98/x
  3. Step 3: Cross multiply
    83,088.81x = 114,665.09 × 47,283.98
  4. Step 4: Simplify right side
    83,088.81x = 5,421,821,012.51
  5. Step 5: Solve for x
    x = 5,421,821,012.51/83,088.81
  6. Step 6: Final answer
    x = 65,253.32

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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.