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Finding the Fourth Proportional to 76,866, 106,075.08 and 43,332

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Solution

The fourth proportional to 76,866, 106,075.08 and 43,332 is: 59,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866 : 106,075.08 = 43,332 : x
  2. Step 2: Convert to fraction form
    76,866/106,075.08 = 43,332/x
  3. Step 3: Cross multiply
    76,866x = 106,075.08 × 43,332
  4. Step 4: Simplify right side
    76,866x = 4,596,445,366.56
  5. Step 5: Solve for x
    x = 4,596,445,366.56/76,866
  6. Step 6: Final answer
    x = 59,798.16

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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.