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Finding the Fourth Proportional to 64,164.78, 88,547.52 and 35,877.12

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Solution

The fourth proportional to 64,164.78, 88,547.52 and 35,877.12 is: 49,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164.78 : 88,547.52 = 35,877.12 : x
  2. Step 2: Convert to fraction form
    64,164.78/88,547.52 = 35,877.12/x
  3. Step 3: Cross multiply
    64,164.78x = 88,547.52 × 35,877.12
  4. Step 4: Simplify right side
    64,164.78x = 3,176,830,000.74
  5. Step 5: Solve for x
    x = 3,176,830,000.74/64,164.78
  6. Step 6: Final answer
    x = 49,510.49

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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.