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Finding the Fourth Proportional to 96,582, 133,283.64 and 56,323.68

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Solution

The fourth proportional to 96,582, 133,283.64 and 56,323.68 is: 77,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,582 : 133,283.64 = 56,323.68 : x
  2. Step 2: Convert to fraction form
    96,582/133,283.64 = 56,323.68/x
  3. Step 3: Cross multiply
    96,582x = 133,283.64 × 56,323.68
  4. Step 4: Simplify right side
    96,582x = 7,507,025,088.60
  5. Step 5: Solve for x
    x = 7,507,025,088.60/96,582
  6. Step 6: Final answer
    x = 77,726.96

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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.