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Finding the Fourth Proportional to 52,818, 72,888.84 and 31,598.16

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Solution

The fourth proportional to 52,818, 72,888.84 and 31,598.16 is: 43,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,818 : 72,888.84 = 31,598.16 : x
  2. Step 2: Convert to fraction form
    52,818/72,888.84 = 31,598.16/x
  3. Step 3: Cross multiply
    52,818x = 72,888.84 × 31,598.16
  4. Step 4: Simplify right side
    52,818x = 2,303,153,228.53
  5. Step 5: Solve for x
    x = 2,303,153,228.53/52,818
  6. Step 6: Final answer
    x = 43,605.46

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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.