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Finding the Fourth Proportional to 64,594, 89,164.65 and 43,075.95

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Solution

The fourth proportional to 64,594, 89,164.65 and 43,075.95 is: 59,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,594 : 89,164.65 = 43,075.95 : x
  2. Step 2: Convert to fraction form
    64,594/89,164.65 = 43,075.95/x
  3. Step 3: Cross multiply
    64,594x = 89,164.65 × 43,075.95
  4. Step 4: Simplify right side
    64,594x = 3,840,852,005.17
  5. Step 5: Solve for x
    x = 3,840,852,005.17/64,594
  6. Step 6: Final answer
    x = 59,461.44

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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.