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Finding the Fourth Proportional to 52,533, 72,470.52 and 35,543.16

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Solution

The fourth proportional to 52,533, 72,470.52 and 35,543.16 is: 49,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533 : 72,470.52 = 35,543.16 : x
  2. Step 2: Convert to fraction form
    52,533/72,470.52 = 35,543.16/x
  3. Step 3: Cross multiply
    52,533x = 72,470.52 × 35,543.16
  4. Step 4: Simplify right side
    52,533x = 2,575,831,287.64
  5. Step 5: Solve for x
    x = 2,575,831,287.64/52,533
  6. Step 6: Final answer
    x = 49,032.63

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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.