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Finding the Fourth Proportional to 102,275.48, 153,345.54 and 48,975.32

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Solution

The fourth proportional to 102,275.48, 153,345.54 and 48,975.32 is: 73,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,275.48 : 153,345.54 = 48,975.32 : x
  2. Step 2: Convert to fraction form
    102,275.48/153,345.54 = 48,975.32/x
  3. Step 3: Cross multiply
    102,275.48x = 153,345.54 × 48,975.32
  4. Step 4: Simplify right side
    102,275.48x = 7,510,146,892.07
  5. Step 5: Solve for x
    x = 7,510,146,892.07/102,275.48
  6. Step 6: Final answer
    x = 73,430.57

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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.