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Finding the Fourth Proportional to 83,020, 114,567.60 and 45,295.08

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Solution

The fourth proportional to 83,020, 114,567.60 and 45,295.08 is: 62,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020 : 114,567.60 = 45,295.08 : x
  2. Step 2: Convert to fraction form
    83,020/114,567.60 = 45,295.08/x
  3. Step 3: Cross multiply
    83,020x = 114,567.60 × 45,295.08
  4. Step 4: Simplify right side
    83,020x = 5,189,348,607.41
  5. Step 5: Solve for x
    x = 5,189,348,607.41/83,020
  6. Step 6: Final answer
    x = 62,507.21

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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.