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Finding the Fourth Proportional to 94,851.76, 130,888.56 and 52,411

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Solution

The fourth proportional to 94,851.76, 130,888.56 and 52,411 is: 72,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,851.76 : 130,888.56 = 52,411 : x
  2. Step 2: Convert to fraction form
    94,851.76/130,888.56 = 52,411/x
  3. Step 3: Cross multiply
    94,851.76x = 130,888.56 × 52,411
  4. Step 4: Simplify right side
    94,851.76x = 6,860,000,318.16
  5. Step 5: Solve for x
    x = 6,860,000,318.16/94,851.76
  6. Step 6: Final answer
    x = 72,323.38

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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.