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Finding the Fourth Proportional to 94,547.78, 130,480.79 and 52,106.31

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Solution

The fourth proportional to 94,547.78, 130,480.79 and 52,106.31 is: 71,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,547.78 : 130,480.79 = 52,106.31 : x
  2. Step 2: Convert to fraction form
    94,547.78/130,480.79 = 52,106.31/x
  3. Step 3: Cross multiply
    94,547.78x = 130,480.79 × 52,106.31
  4. Step 4: Simplify right side
    94,547.78x = 6,798,872,232.25
  5. Step 5: Solve for x
    x = 6,798,872,232.25/94,547.78
  6. Step 6: Final answer
    x = 71,909.38

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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.