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Finding the Fourth Proportional to 102,434.79, 153,646.71 and 31,357.46

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Solution

The fourth proportional to 102,434.79, 153,646.71 and 31,357.46 is: 47,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434.79 : 153,646.71 = 31,357.46 : x
  2. Step 2: Convert to fraction form
    102,434.79/153,646.71 = 31,357.46/x
  3. Step 3: Cross multiply
    102,434.79x = 153,646.71 × 31,357.46
  4. Step 4: Simplify right side
    102,434.79x = 4,817,970,829.48
  5. Step 5: Solve for x
    x = 4,817,970,829.48/102,434.79
  6. Step 6: Final answer
    x = 47,034.51

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