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Finding the Fourth Proportional to 83,304.74, 114,957.68 and 47,506.28

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Solution

The fourth proportional to 83,304.74, 114,957.68 and 47,506.28 is: 65,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304.74 : 114,957.68 = 47,506.28 : x
  2. Step 2: Convert to fraction form
    83,304.74/114,957.68 = 47,506.28/x
  3. Step 3: Cross multiply
    83,304.74x = 114,957.68 × 47,506.28
  4. Step 4: Simplify right side
    83,304.74x = 5,461,210,921.91
  5. Step 5: Solve for x
    x = 5,461,210,921.91/83,304.74
  6. Step 6: Final answer
    x = 65,557.03

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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.