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Finding the Fourth Proportional to 99,141.76, 148,681.16 and 32,566.40

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Solution

The fourth proportional to 99,141.76, 148,681.16 and 32,566.40 is: 48,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,141.76 : 148,681.16 = 32,566.40 : x
  2. Step 2: Convert to fraction form
    99,141.76/148,681.16 = 32,566.40/x
  3. Step 3: Cross multiply
    99,141.76x = 148,681.16 × 32,566.40
  4. Step 4: Simplify right side
    99,141.76x = 4,842,010,129.02
  5. Step 5: Solve for x
    x = 4,842,010,129.02/99,141.76
  6. Step 6: Final answer
    x = 48,839.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.