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Finding the Fourth Proportional to 54,963, 75,848.94 and 31,089.16

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Solution

The fourth proportional to 54,963, 75,848.94 and 31,089.16 is: 42,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963 : 75,848.94 = 31,089.16 : x
  2. Step 2: Convert to fraction form
    54,963/75,848.94 = 31,089.16/x
  3. Step 3: Cross multiply
    54,963x = 75,848.94 × 31,089.16
  4. Step 4: Simplify right side
    54,963x = 2,358,079,831.49
  5. Step 5: Solve for x
    x = 2,358,079,831.49/54,963
  6. Step 6: Final answer
    x = 42,903.04

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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.